Question 1

Solve the problem.
-The information in the chart gives the salary of a person for the stated years. Model the data with a linear function using the points (1, 24,100)and (3, 26,800).

Accepted Answer

The answer of Solve the problem.
-The information in the chart...

Question 2

Find an equation in slope-intercept form (where possible) for the line.
-Through $ (-7,3) $ and $ (6,-8) $

Accepted Answer

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

Question 3

Evaluate the function as indicated.
-Find $ f(-7.4) $ when $ f(x)=7.2 x+7 $.

Accepted Answer

The answer of Evaluate the function as indicated.
-Find \( f(-7.4)...

Question 4

Find the correlation coefficient.
-The following are the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millimeters):

Accepted Answer

The answer of Find the correlation coefficient.
-The following are the...

Question 5

Provide an appropriate response.
-Find $ \mathrm{k} $ so that the line through $ (3, \mathrm{k}) $ and $ (1,-2) $ is parallel to $ 2 \mathrm{x}-5 \mathrm{y}=-8 $. Find $ \mathrm{k} $ so that the line is perpendicular to $ 3 x+4 y=-9 $.

Accepted Answer

For the line to be parallel to $ 2x - 5y = -8 $, it must have the same slope, which is $\frac{2}{5}$. Using the point-slope form, solve for $ k $ to get $ k = -\frac{6}{5} $. For the line to be perpendicular to $ 3x + 4y = -9 $, its slope must be the negative reciprocal, $-\frac{4}{3}$. Solving for $ k $ gives $ k = \frac{2}{3} $.

Question 6

Find the correlation coefficient.
-The test scores of 6 randomly picked students and the number of hours they prepared are as follows:

Accepted Answer

The answer of Find the correlation coefficient.
-The test scores of...

Question 7

Solve the problem.
-Let the demand and supply functions be represented by $ \mathrm{D}(\mathrm{p}) $ and $ \mathrm{S}(\mathrm{p}) $, where $ \mathrm{p} $ is the price in dollars. Find the equilibrium price and equilibrium quantity for the given functions.
$
\mathrm{D}(\mathrm{p})=134,750-250 \mathrm{p}
$
$ \mathrm{S}(\mathrm{p})=300 \mathrm{p} $

Accepted Answer

Equilibrium price is found by solving $ \mathrm{D}(\mathrm{p})=\mathrm{S}(\mathrm{p}) $.$\begin{aligned}134,750-250 \mathrm{p} &=300 \mathrm{p} \\550 \mathrm{p} &=134,750 \\mathrm{p} &=\$ 245\end{aligned}$Equilibrium quantity is found by substituting the equilibrium price into either demand or supply function.$\begin{aligned}\mathrm{D}(245) &=134,750-250(245) \\&=73,500\end{aligned}$

Question 8

Find an equation in slope-intercept form (where possible) for the line.
-Through $ (-5,10) $ and $ (-5,-7) $

Accepted Answer

The line described has a constant x-value (-5) and varying y-values, indicating it is a vertical line. The equation for a vertical line is of the form $x = k$, where $k$ is the constant x-value. Therefore, the correct equation is $x = -5$.

Question 9

Find an equation in slope-intercept form (where possible) for the line.
-Through $ (2,1) $, perpendicular to $ -7 x+6 y=-8 $

Accepted Answer

The slope of the given line is $\frac{7}{6}$ (after rearranging the equation to slope-intercept form: $y=\frac{7}{6}x+\frac{4}{3}$). The slope of a line perpendicular to this is the negative reciprocal, which is $-\frac{6}{7}$. Using the point (2,1) and the slope $-\frac{6}{7}$, the equation in slope-intercept form is $y=-\frac{6}{7}x+\frac{19}{7}$.

Question 10

Evaluate the function as indicated.
-Find $ g\left(\frac{7}{3}\right) $ when $ g(x)=7-9 x $.

Accepted Answer

To find $ g\left(\frac{7}{3}\right) $, substitute $ x = \frac{7}{3} $ into the function $ g(x) = 7 - 9x $. This gives $ g\left(\frac{7}{3}\right) = 7 - 9\left(\frac{7}{3}\right) = 7 - 21 = -14 $.

Question 11

Solve the problem.
-Given the supply and demand functions below, find the demand when p = $12. $$
\begin{array}{l}
S(p)=5 p \
D(p)=120-4 p
\end{array}
$$

Accepted Answer

The answer of Solve the problem.
-Given the supply and demand...

Question 12

Evaluate the function as indicated.
-Find $ g(a-1) $ when $ g(x)=3 x-2 $

Accepted Answer

To find $ g(a-1) $, substitute $ x = a-1 $ into the function $ g(x) = 3x - 2 $. This gives $ g(a-1) = 3(a-1) - 2 = 3a - 3 - 2 = 3a - 5 $.

Question 13

Find the correlation coefficient.
-The test scores of 6 randomly picked students and the number of hours they prepared are as follows:

Accepted Answer

The answer of Find the correlation coefficient.
-The test scores of...

Question 14

Solve the problem.
-For some reason the quality of production decreases as the year progresses at a light bulb manufacturing plant. The following data represent the percentage of defective light bulbs Produced at a light bulb manufacturing plant in the corresponding month of the year.  Use the equation of the least squares line to predict in which month the percentage of defective
Light bulbs would be 1.83%.

Accepted Answer

The answer of Solve the problem.
-For some reason the quality...

Question 15

Evaluate the function as indicated.
-Find $ f(6.5) $ when $ f(x)=-2 x+8.8 $.

Accepted Answer

The answer of Evaluate the function as indicated.
-Find \( f(6.5)...

Question 16

Find the slope of the line.
-The x-axis

Accepted Answer

The slope of a line parallel to the x-axis is 0 because there is no vertical change as you move along the line.

Question 17

Solve the problem.
-In a certain city, the cost of a taxi ride is computed as follows: There is a fixed charge of $2.45 as soon as you get in the taxi, to which a charge of $2.05 per mile is added. Find a linear equation that Can be used to determine the cost, C, of an x-mile taxi ride.

Accepted Answer

The cost of the taxi ride is a fixed charge of $2.45 plus $2.05 per mile, so the equation is C = 2.05x + 2.45.

Question 18

Graph the equation.
-y = 3x - 2

Accepted Answer

The answer of Graph the equation.
-y = 3x - 2...

Question 19

Solve the problem.
-For some reason the quality of production decreases as the year progresses at a light bulb manufacturing plant. The following data represent the percentage of defective light bulbs Produced at a light bulb manufacturing plant in the corresponding month of the year.  Use the equation of the least squares line to predict the percentage of defective bulbs in June.

Accepted Answer

The answer of Solve the problem.
-For some reason the quality...

Question 20

Graph the equation.
-2y - 7x = 4

Accepted Answer

The answer of Graph the equation.
-2y - 7x = 4...

Quiz 1: Linear Functions

Solve the problem. -The information in the chart gives the salary of a person for the stated years. Model the data with a linear function using the points (1, 24,100) and (3, 26,800) .

Find an equation in slope-intercept form (where possible) for the line. -Through $(-7,3)$ and $(6,-8)$

Evaluate the function as indicated. -Find $f(-7.4)$ when $f(x) =7.2 x+7$ .

Find the correlation coefficient. -The following are the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millimeters) :

Provide an appropriate response. -Find $\mathrm{k}$ so that the line through $(3, \mathrm{k})$ and $(1,-2)$ is parallel to $2 \mathrm{x}-5 \mathrm{y}=-8$ . Find $\mathrm{k}$ so that the line is perpendicular to $3 x+4 y=-9$ .

Find the correlation coefficient. -The test scores of 6 randomly picked students and the number of hours they prepared are as follows:

Find an equation in slope-intercept form (where possible) for the line. -Through $(-5,10)$ and $(-5,-7)$

Find an equation in slope-intercept form (where possible) for the line. -Through $(2,1)$ , perpendicular to $-7 x+6 y=-8$

Evaluate the function as indicated. -Find $g\left(\frac{7}{3}\right)$ when $g(x) =7-9 x$ .

Solve the problem. -Given the supply and demand functions below, find the demand when p = $12. $\begin{array}{l}S(p) =5 p \\D(p) =120-4 p\end{array}$

Evaluate the function as indicated. -Find $g(a-1)$ when $g(x) =3 x-2$

Find the correlation coefficient. -The test scores of 6 randomly picked students and the number of hours they prepared are as follows:

Evaluate the function as indicated. -Find $f(6.5)$ when $f(x) =-2 x+8.8$ .

Find the slope of the line. -The x-axis

Solve the problem. -In a certain city, the cost of a taxi ride is computed as follows: There is a fixed charge of $2.45 as soon as you get in the taxi, to which a charge of $2.05 per mile is added. Find a linear equation that Can be used to determine the cost, C, of an x-mile taxi ride.

Graph the equation. -y = 3x - 2

Graph the equation. -2y - 7x = 4

Quiz 1: Linear Functions

Solve the problem. -The information in the chart gives the salary of a person for the stated years. Model the data with a linear function using the points (1, 24,100) and (3, 26,800) .

Find an equation in slope-intercept form (where possible) for the line. -Through (−7,3) (-7,3) (−7,3) and (6,−8) (6,-8) (6,−8)

Evaluate the function as indicated. -Find f(−7.4) f(-7.4) f(−7.4) when f(x) =7.2x+7 f(x) =7.2 x+7 f(x) =7.2x+7 .

Find the correlation coefficient. -The following are the temperatures on randomly chosen days and the amount a certain kind of plant grew (in millimeters) :

Provide an appropriate response. -Find k \mathrm{k} k so that the line through (3,k) (3, \mathrm{k}) (3,k) and (1,−2) (1,-2) (1,−2) is parallel to 2x−5y=−8 2 \mathrm{x}-5 \mathrm{y}=-8 2x−5y=−8 . Find k \mathrm{k} k so that the line is perpendicular to 3x+4y=−9 3 x+4 y=-9 3x+4y=−9 .

Find the correlation coefficient. -The test scores of 6 randomly picked students and the number of hours they prepared are as follows:

Find an equation in slope-intercept form (where possible) for the line. -Through (−5,10) (-5,10) (−5,10) and (−5,−7) (-5,-7) (−5,−7)

Find an equation in slope-intercept form (where possible) for the line. -Through (2,1) (2,1) (2,1) , perpendicular to −7x+6y=−8 -7 x+6 y=-8 −7x+6y=−8

Evaluate the function as indicated. -Find g(73) g\left(\frac{7}{3}\right) g(37​) when g(x) =7−9x g(x) =7-9 x g(x) =7−9x .

Solve the problem. -Given the supply and demand functions below, find the demand when p = $12. S(p) =5pD(p) =120−4p\begin{array}{l}S(p) =5 p \\D(p) =120-4 p\end{array}S(p) =5pD(p) =120−4p​

Evaluate the function as indicated. -Find g(a−1) g(a-1) g(a−1) when g(x) =3x−2 g(x) =3 x-2 g(x) =3x−2

Find the correlation coefficient. -The test scores of 6 randomly picked students and the number of hours they prepared are as follows:

Evaluate the function as indicated. -Find f(6.5) f(6.5) f(6.5) when f(x) =−2x+8.8 f(x) =-2 x+8.8 f(x) =−2x+8.8 .

Find the slope of the line. -The x-axis

Solve the problem. -In a certain city, the cost of a taxi ride is computed as follows: There is a fixed charge of $2.45 as soon as you get in the taxi, to which a charge of $2.05 per mile is added. Find a linear equation that Can be used to determine the cost, C, of an x-mile taxi ride.

Graph the equation. -y = 3x - 2

Graph the equation. -2y - 7x = 4

Find an equation in slope-intercept form (where possible) for the line. -Through $(-7,3)$ and $(6,-8)$

Evaluate the function as indicated. -Find $f(-7.4)$ when $f(x) =7.2 x+7$ .

Provide an appropriate response. -Find $\mathrm{k}$ so that the line through $(3, \mathrm{k})$ and $(1,-2)$ is parallel to $2 \mathrm{x}-5 \mathrm{y}=-8$ . Find $\mathrm{k}$ so that the line is perpendicular to $3 x+4 y=-9$ .

Find an equation in slope-intercept form (where possible) for the line. -Through $(-5,10)$ and $(-5,-7)$

Find an equation in slope-intercept form (where possible) for the line. -Through $(2,1)$ , perpendicular to $-7 x+6 y=-8$

Evaluate the function as indicated. -Find $g\left(\frac{7}{3}\right)$ when $g(x) =7-9 x$ .

Solve the problem. -Given the supply and demand functions below, find the demand when p = $12. $\begin{array}{l}S(p) =5 p \\D(p) =120-4 p\end{array}$

Evaluate the function as indicated. -Find $g(a-1)$ when $g(x) =3 x-2$

Evaluate the function as indicated. -Find $f(6.5)$ when $f(x) =-2 x+8.8$ .