Question 1

A boat is moving away from shore in such a way that at time thours its distance from shore, in kilometers, is given by the linear function d(t)=4.5t+9.1 . What is the rate of change of the distance from shore?

Accepted Answer

The rate of change of distance with respect to time in the given linear function d(t) = 4.5t + 9.1 is the coefficient of t, which is 4.5 km/hr.

Question 2

Graph the equation.
-$25 y=5 x+25$

Accepted Answer

The answer of Graph the equation.
-$25 y=5 x+25$

...

Question 3

For the given function, find the rate of change.
-$$y = 3 + \frac { 1 } { 9 } x$$

Accepted Answer

The rate of change of the function $y = 3 + \frac{1}{9}x$ is given by the coefficient of $x$, which is $\frac{1}{9}$.

Question 4

Find the rate of change. Use appropriate units.

Accepted Answer

The answer of Find the rate of change. Use appropriate...

Question 5

Let  y=-9 x+221  represent the number of students present in a large class, where  x  represents the number of hours of study required weekly. What is the rate of change of the number of students in the class with respect to the number of hours of study?

Accepted Answer

The rate of change of the number of students with respect to the number of hours of study is represented by the coefficient of x in the equation, which is -9. This means for each additional hour of study required weekly, the number of students decreases by 9.

Question 6

Graph the equation.
-$$y = 3 x + 2$$

Accepted Answer

The answer of Graph the equation.
-\[y = 3 x +...

Question 7

y=8+3x

Accepted Answer

The equation is in the form y = mx + b, where m is the slope and b is the y-intercept. Here, m = 3 and b = 8, making the slope 3 and the y-intercept (0,8).

Question 8

Graph the equation.
-

Accepted Answer

The answer of Graph the equation.
- 
...

Question 9

Find the slope of the line (if it exists) and the y-intercept (if it exists).
-$$3 y = 21$$

Accepted Answer

The equation $3y = 21$ simplifies to $y = 7$, which is a horizontal line with a slope of $0$ and a y-intercept at $(0,7)$.

Question 10

Graph the equation.
-$3 y+9 x=-21$

Accepted Answer

The answer of Graph the equation.
-$3 y+9 x=-21$

...

Question 11

Graph the equation.
-$4 x=y+2$

Accepted Answer

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

...

Question 12

Graph the equation.
-$$- 5 x - y = 0$$

Accepted Answer

The answer of Graph the equation.
-\[- 5 x - y...

Question 13

Graph the equation.
-$$y = - 3$$

Accepted Answer

The answer of Graph the equation.
-$$y = - 3$$

...

Question 14

Find the slope of the line (if it exists) and the y-intercept (if it exists).
-$$3 \mathrm { x } = 15$$

Accepted Answer

The equation $3x = 15$ represents a vertical line at $x = 5$, which means its slope is undefined and it does not cross the y-axis, hence no y-intercept.

Question 15

For the given function, find the rate of change.
-$$y = 700 - 6 x$$

Accepted Answer

The rate of change of the function $y = 700 - 6x$ with respect to $x$ is the coefficient of $x$, which is $-6$.

Question 16

Graph the equation.
-$-x=-9 y+2$

Accepted Answer

The answer of Graph the equation.
-$-x=-9 y+2$

...

Question 17

For the given function, find the rate of change.
-$$y = 3 x + 6$$

Accepted Answer

The rate of change of the function $y = 3x + 6$ is the coefficient of $x$, which is 3. This represents how much $y$ changes for a unit change in $x$.

Question 18

For the given function, find the rate of change.
-$$y = - 700 x + 6$$

Accepted Answer

The rate of change of the function $y = -700x + 6$ is given by the coefficient of $x$, which is $-700$.

Question 19

Graph the equation.
-$$y = \frac { 1 } { 5 } x - 2$$

Accepted Answer

The answer of Graph the equation.
-\[y = \frac { 1...

Question 20

Graph the equation.
-$$x = 1$$

Accepted Answer

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

...

Quiz 1: Functions, Graphs, and Models; Linear Functions

A boat is moving away from shore in such a way that at time thours its distance from shore, in kilometers, is given by the linear function d(t) =4.5t+9.1 . What is the rate of change of the distance from shore?

Graph the equation. - $25 y=5 x+25$

For the given function, find the rate of change. - $y = 3 + \frac { 1 } { 9 } x$

Find the rate of change. Use appropriate units.

Let y=-9 x+221 represent the number of students present in a large class, where x represents the number of hours of study required weekly. What is the rate of change of the number of students in the class with respect to the number of hours of study?

Graph the equation. - $y = 3 x + 2$

y=8+3x

Graph the equation. -

Find the slope of the line (if it exists) and the y-intercept (if it exists) . - $3 y = 21$

Graph the equation. - $3 y+9 x=-21$

Graph the equation. - $4 x=y+2$

Graph the equation. - $- 5 x - y = 0$

Graph the equation. - $y = - 3$

Find the slope of the line (if it exists) and the y-intercept (if it exists) . - $3 \mathrm { x } = 15$

For the given function, find the rate of change. - $y = 700 - 6 x$

Graph the equation. - $-x=-9 y+2$

For the given function, find the rate of change. - $y = 3 x + 6$

For the given function, find the rate of change. - $y = - 700 x + 6$

Graph the equation. - $y = \frac { 1 } { 5 } x - 2$ $Graph the equation. - y = \frac { 1 } { 5 } x - 2 A) B) C) D)$

Graph the equation. - $x = 1$

Quiz 1: Functions, Graphs, and Models; Linear Functions

A boat is moving away from shore in such a way that at time thours its distance from shore, in kilometers, is given by the linear function d(t) =4.5t+9.1 . What is the rate of change of the distance from shore?

Graph the equation. - 25y=5x+2525 y=5 x+2525y=5x+25

For the given function, find the rate of change. - y=3+19xy = 3 + \frac { 1 } { 9 } xy=3+91​x

Find the rate of change. Use appropriate units.

Let y=-9 x+221 represent the number of students present in a large class, where x represents the number of hours of study required weekly. What is the rate of change of the number of students in the class with respect to the number of hours of study?

Graph the equation. - y=3x+2y = 3 x + 2y=3x+2

y=8+3x

Graph the equation. -

Find the slope of the line (if it exists) and the y-intercept (if it exists) . - 3y=213 y = 213y=21

Graph the equation. - 3y+9x=−213 y+9 x=-213y+9x=−21

Graph the equation. - 4x=y+24 x=y+24x=y+2

Graph the equation. - −5x−y=0- 5 x - y = 0−5x−y=0

Graph the equation. - y=−3y = - 3y=−3

Find the slope of the line (if it exists) and the y-intercept (if it exists) . - 3x=153 \mathrm { x } = 153x=15

For the given function, find the rate of change. - y=700−6xy = 700 - 6 xy=700−6x

Graph the equation. - −x=−9y+2-x=-9 y+2−x=−9y+2

For the given function, find the rate of change. - y=3x+6y = 3 x + 6y=3x+6

For the given function, find the rate of change. - y=−700x+6y = - 700 x + 6y=−700x+6

Graph the equation. - y=15x−2y = \frac { 1 } { 5 } x - 2y=51​x−2

Graph the equation. - x=1x = 1x=1

Graph the equation. - $25 y=5 x+25$

For the given function, find the rate of change. - $y = 3 + \frac { 1 } { 9 } x$

Graph the equation. - $y = 3 x + 2$

Find the slope of the line (if it exists) and the y-intercept (if it exists) . - $3 y = 21$

Graph the equation. - $3 y+9 x=-21$

Graph the equation. - $4 x=y+2$

Graph the equation. - $- 5 x - y = 0$

Graph the equation. - $y = - 3$

Find the slope of the line (if it exists) and the y-intercept (if it exists) . - $3 \mathrm { x } = 15$

For the given function, find the rate of change. - $y = 700 - 6 x$

Graph the equation. - $-x=-9 y+2$

For the given function, find the rate of change. - $y = 3 x + 6$

For the given function, find the rate of change. - $y = - 700 x + 6$

Graph the equation. - $y = \frac { 1 } { 5 } x - 2$ $Graph the equation. - y = \frac { 1 } { 5 } x - 2 A) B) C) D)$

Graph the equation. - $x = 1$