Question 1

Find an equation in slope-intercept form (where possible) for the line.
-The line with x-intercept -8 and perpendicular to 4x - y = -6

Accepted Answer

The answer of  Find an equation in slope-intercept form...

Question 2

Evaluate the function as indicated.
-Through $ (-9,-1) $ and $ (3,-1) $

Accepted Answer

The points (-9,-1) and (3,-1) have the same y-coordinate, indicating a horizontal line. The equation of a horizontal line is of the form $y = k$, where $k$ is the y-coordinate. Thus, $y = -1$ correctly represents this line.

Question 3

Graph the equation. x - 1 = 0

Accepted Answer

The answer of Graph the equation. x - 1 =...

Question 4

Find the slope of the line.

Accepted Answer

The answer of Find the slope of the line. 
...

Question 5

Find an equation in slope-intercept form (where possible) for the line. Through $ (-6,5), \mathrm{m}=0 $

Accepted Answer

The slope $m=0$ indicates a horizontal line. Since it passes through $(-6,5)$, the equation is $y=5$, which is a horizontal line at $y=5$.

Question 6

Find an equation in slope-intercept form (where possible) for the line. Through $ (5,5), \mathrm{m}=-\frac{5}{6} $

Accepted Answer

The slope-intercept form is $ y = mx + b $. Given $ m = -\frac{5}{6} $ and the point $ (5,5) $, substitute into the equation to find $ b $: $ 5 = -\frac{5}{6}(5) + b $. Solving gives $ b = \frac{55}{6} $. Thus, the equation is $ y = -\frac{5}{6}x + \frac{55}{6} $.

Question 7

Find the equation of the least squares line.
-The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test.

Accepted Answer

The answer of Find the equation of the least squares...

Question 8

Write a cost function for the problem. Assume that the relationship is linear.
-An electrician charges a fee of $60 plus $45 per hour. Let C(x)be the cost in dollars of using the electricia

Accepted Answer

The cost function $C(x) = 45x + 60$ correctly represents the total cost as a function of hours, x, where $45 is charged per hour and there is an additional fixed fee of $60.

Question 9

The following data show the list price, x, in thousands of dollars, and the dealer invoice price, y, also in thousands of dollars, for a variety of sport utility vehicles. Find a linear equation that Approximates the data, using the points (16.5, 16.1)and (20.0, 18.3).

Accepted Answer

The answer of The following data show the list price,...

Question 10

A toilet manufacturer has decided to come out with a new and improved toilet. The fixed cost for the production of this new toilet line is $16,600 and the variable costs are $69 per toilet. The Company expects to sell the toilets for $157. Formulate a function P(x)for the total profit from the Production and sale of x toilets.

Accepted Answer

The total profit function, $P(x)$, is calculated by subtracting the total costs from the total revenue. The total revenue from selling $x$ toilets is $157x$ (selling price times quantity), and the total cost is the sum of fixed costs ($16,600) and variable costs ($69 per toilet times quantity $x$), which is $16600 + 69x$. Therefore, $P(x) = 157x - (16600 + 69x) = 88x - 16600$.

Question 11

Regrind, Inc. regrinds used typewriter platens. The cost per platen is $1.70. The cost to regrind 50 platens is $300. Find the linear cost function to regrind platens. If reground platens sell for $9.20
Each, how many must be reground and sold to break even?

Accepted Answer

The answer of Regrind, Inc. regrinds used typewriter platens. The...

Question 12

Find the slope of the line.

Accepted Answer

The answer of Find the slope of the line.
...

Question 13

Midtown Delivery Service delivers packages which cost $1.10 per package to deliver. The fixed cost to run the delivery truck is $480 per day. If the company charges $6.10 per package, how many Packages must be delivered daily to make a profit of $75?

Accepted Answer

To make a profit of $75, the total income must cover the fixed costs, the cost per package, and the desired profit. The profit per package is $6.10 (charge per package) - $1.10 (cost per package) = $5.00. The total profit needed is $480 (fixed cost) + $75 (desired profit) = $555. To find the number of packages needed to make this profit, divide the total needed profit by the profit per package: $555 / $5.00 = 111 packages.

Question 14

Find an equation in slope-intercept form (where possible) for the line.
-In a lab experiment 3 grams of acid were produced in 13 minutes and 10 grams in 39 minutes. Let y be the grams produced in x minutes. Write a linear equation for grams produced.

Accepted Answer

The answer of  Find an equation in slope-intercept form...

Question 15

Find the equation of the least squares line.
-A shoe company will make a new type of shoe. The fixed cost for the production will be $24,000. The variable cost will be $34 per pair of shoes. The shoes will sell for $110 for each pair. What is The profit if 600 pairs are sold?

Accepted Answer

The profit can be calculated by subtracting the total costs from the total revenue. The total revenue from selling 600 pairs at $110 each is $110 * 600 = $66,000. The total cost includes the fixed cost of $24,000 plus the variable cost of $34 per pair for 600 pairs, which is $34 * 600 = $20,400. So, the total cost is $24,000 + $20,400 = $44,400. The profit is then $66,000 - $44,400 = $21,600.

Question 16

Find the slope of the line. y = 8x - 4

Accepted Answer

The slope of the line is the coefficient of x, which is 8 in the equation y = 8x - 4.

Question 17

Evaluate the function as indicated.
-Find $ f(-r) $ when $ f(x)=7-4 x $.

Accepted Answer

The answer of Evaluate the function as indicated.
-Find \( f(-r)...

Question 18

Find the equation of the least squares line.
-Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both tests and the results are shown below.

Accepted Answer

The answer of  Find the equation of the least...

Question 19

Find the slope of the line.A line parallel to $ 8 x=7 y+13 $

Accepted Answer

The slope of a line parallel to another line is the same as the slope of the original line. The slope of the given line is 8/7, so the slope of the parallel line is also 8/7.

Question 20

Graph the equation. 3x + 6y = 10

Accepted Answer

The answer of Graph the equation. 3x + 6y =...

Quiz 1: Linear Functions

Find an equation in slope-intercept form (where possible) for the line. -The line with x-intercept -8 and perpendicular to 4x - y = -6

Evaluate the function as indicated. -Through $(-9,-1)$ and $(3,-1)$

Graph the equation. x - 1 = 0

Find the slope of the line.

Find an equation in slope-intercept form (where possible) for the line. Through $(-6,5) , \mathrm{m}=0$

Find an equation in slope-intercept form (where possible) for the line. Through $(5,5) , \mathrm{m}=-\frac{5}{6}$

Find the equation of the least squares line. -The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test.

Write a cost function for the problem. Assume that the relationship is linear. -An electrician charges a fee of $60 plus $45 per hour. Let C(x) be the cost in dollars of using the electricia

The following data show the list price, x, in thousands of dollars, and the dealer invoice price, y, also in thousands of dollars, for a variety of sport utility vehicles. Find a linear equation that Approximates the data, using the points (16.5, 16.1) and (20.0, 18.3) .

Regrind, Inc. regrinds used typewriter platens. The cost per platen is $1.70. The cost to regrind 50 platens is $300. Find the linear cost function to regrind platens. If reground platens sell for $9.20 Each, how many must be reground and sold to break even?

Find the slope of the line.

Midtown Delivery Service delivers packages which cost $1.10 per package to deliver. The fixed cost to run the delivery truck is $480 per day. If the company charges $6.10 per package, how many Packages must be delivered daily to make a profit of $75?

Find an equation in slope-intercept form (where possible) for the line. -In a lab experiment 3 grams of acid were produced in 13 minutes and 10 grams in 39 minutes. Let y be the grams produced in x minutes. Write a linear equation for grams produced.

Find the equation of the least squares line. -A shoe company will make a new type of shoe. The fixed cost for the production will be $24,000. The variable cost will be $34 per pair of shoes. The shoes will sell for $110 for each pair. What is The profit if 600 pairs are sold?

Find the slope of the line. y = 8x - 4

Evaluate the function as indicated. -Find $f(-r)$ when $f(x) =7-4 x$ .

Find the equation of the least squares line. -Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both tests and the results are shown below.

Find the slope of the line.A line parallel to $8 x=7 y+13$

Graph the equation. 3x + 6y = 10

Quiz 1: Linear Functions

Find an equation in slope-intercept form (where possible) for the line. -The line with x-intercept -8 and perpendicular to 4x - y = -6

Evaluate the function as indicated. -Through (−9,−1) (-9,-1) (−9,−1) and (3,−1) (3,-1) (3,−1)

Graph the equation. x - 1 = 0

Find the slope of the line.

Find an equation in slope-intercept form (where possible) for the line. Through (−6,5) ,m=0 (-6,5) , \mathrm{m}=0 (−6,5) ,m=0

Find an equation in slope-intercept form (where possible) for the line. Through (5,5) ,m=−56 (5,5) , \mathrm{m}=-\frac{5}{6} (5,5) ,m=−65​

Find the equation of the least squares line. -The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test.

Write a cost function for the problem. Assume that the relationship is linear. -An electrician charges a fee of $60 plus $45 per hour. Let C(x) be the cost in dollars of using the electricia

The following data show the list price, x, in thousands of dollars, and the dealer invoice price, y, also in thousands of dollars, for a variety of sport utility vehicles. Find a linear equation that Approximates the data, using the points (16.5, 16.1) and (20.0, 18.3) .

Regrind, Inc. regrinds used typewriter platens. The cost per platen is $1.70. The cost to regrind 50 platens is $300. Find the linear cost function to regrind platens. If reground platens sell for $9.20 Each, how many must be reground and sold to break even?

Find the slope of the line.

Midtown Delivery Service delivers packages which cost $1.10 per package to deliver. The fixed cost to run the delivery truck is $480 per day. If the company charges $6.10 per package, how many Packages must be delivered daily to make a profit of $75?

Find an equation in slope-intercept form (where possible) for the line. -In a lab experiment 3 grams of acid were produced in 13 minutes and 10 grams in 39 minutes. Let y be the grams produced in x minutes. Write a linear equation for grams produced.

Find the equation of the least squares line. -A shoe company will make a new type of shoe. The fixed cost for the production will be $24,000. The variable cost will be $34 per pair of shoes. The shoes will sell for $110 for each pair. What is The profit if 600 pairs are sold?

Find the slope of the line. y = 8x - 4

Evaluate the function as indicated. -Find f(−r) f(-r) f(−r) when f(x) =7−4x f(x) =7-4 x f(x) =7−4x .

Find the equation of the least squares line. -Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both tests and the results are shown below.

Find the slope of the line.A line parallel to 8x=7y+13 8 x=7 y+13 8x=7y+13

Graph the equation. 3x + 6y = 10

Evaluate the function as indicated. -Through $(-9,-1)$ and $(3,-1)$

Find an equation in slope-intercept form (where possible) for the line. Through $(-6,5) , \mathrm{m}=0$

Find an equation in slope-intercept form (where possible) for the line. Through $(5,5) , \mathrm{m}=-\frac{5}{6}$

Evaluate the function as indicated. -Find $f(-r)$ when $f(x) =7-4 x$ .

Find the slope of the line.A line parallel to $8 x=7 y+13$