Quiz about Writing Equations Using Regression & Finding Slope

Question 1

Given the exponential function, what is the equation of the graph?

Accepted Answer

$$y=32\left(\frac{1}{4}\right)^x$$

Answer

$$y=512\left(\frac{1}{4}\right)^x$$

Answer

$$y=32(4)^x$$

Answer

$$y=512(4)^x$$

Question 2

Which type of regression model does the scatter plot appear to show?

Accepted Answer

exponential

Answer

linear

Answer

quadratic

Question 3

A person travels by car. They record their miles driven in a data table. Calculate the linear regression equation of this data.

Accepted Answer

$$y=61.93x-1.79$$

Answer

$$y=-1.79x+61.93$$

Answer

$$y=0.016x+0.03$$

Answer

$$y=0.03x+0.016$$

Question 4

Given the Linear function, what is the equation of the graph?

Accepted Answer

$$y=-x-5$$

Answer

$$y=-5x-1$$

Answer

$$y=-\frac{1}{5}x-1$$

Answer

$$y=-2x+3$$

Question 5

Given the Linear function, what is the equation of the graph?

Accepted Answer

$$y=\frac{1}{3}x+2$$

Answer

$$y=3x-1$$

Answer

$$y=-9x-1$$

Answer

$$y=-\frac{1}{3}x-9$$

Question 6

Given the Linear function, what is the equation of the graph?

Accepted Answer

$$y=\frac{3}{4}x+7$$

Answer

$$y=\frac{4}{3}x-2$$

Answer

$$y=6x-2$$

Answer

$$y=16x$$

Question 7

Given the Linear function, what is the equation of the graph?

Accepted Answer

$$y=4x+1$$

Answer

$$y=\frac{1}{4}x-3$$

Answer

$$y=-x+9$$

Answer

$$y=-3x-1$$

Question 8

Find the equation of the line that passes through the points:

(-2, 4) and (1, 10)

Accepted Answer

y = 2x + 8

Answer

y = -2x + 1

Answer

y = 2x

Answer

y = -2x

Question 9

Find the equation of the line that passes through the points:

(-3, 3) and (3, -1)

Accepted Answer

$$y=-\frac{2}{3}x+1\ $$

Answer

$$y=-\frac{2}{3}x$$

Answer

$$y=\frac{2}{3}x+1$$

Answer

$$y=-\frac{2}{3}x+3$$

Question 10

Find the equation of the line that passes through the points:
$$\left(-7,-3\right)$$ and $$\left(3,-4\right)$$

Accepted Answer

$$y=-\frac{1}{10}x-\frac{37}{10}$$

Answer

$$y=\frac{1}{10}x+\frac{37}{10}$$

Answer

$$y=-\frac{37}{10}x-\frac{1}{10}$$

Answer

$$y=x-1$$

Question 11

Find the equation of the line that passes through the points:

(-2, 4) and (1, 10)

Accepted Answer

y = 2x + 8

Answer

y = -2x + 1

Answer

y = 2x

Answer

y = -2x

Question 12

Find the equation of the line that passes through the points:
(5, 3) and (4, -3)

Accepted Answer

y = 6x - 27

Answer

y = 27x + 6

Answer

y = -6x

Answer

y = 6x + 27

Question 13

Find the equation of the line that passes through the points:
$$\left(-7,-3\right)$$ and $$\left(3,-4\right)$$

Accepted Answer

$$y=-\frac{1}{10}x-\frac{37}{10}$$

Answer

$$y=\frac{1}{10}x+\frac{37}{10}$$

Answer

$$y=-\frac{37}{10}x-\frac{1}{10}$$

Answer

$$y=x-1$$

Question 14

Write a linear equation for the given table...

Accepted Answer

$$y=10x-86$$

Answer

$$y=-86x+10$$

Answer

$$y=\frac{1}{10}x+\frac{43}{5}$$

Answer

$$y=8.6x+0.1$$

Question 15

Write a linear equation for the given table...

Accepted Answer

$$y=8x+3$$

Answer

$$y=8x-3$$

Answer

$$y=\frac{1}{8}x-\frac{3}{8}$$

Answer

$$y=x-\frac{3}{8}$$

Question 16

Write a equation in slope-intercept form for the given graph.

Accepted Answer

$$y=-2x+50$$

Answer

$$y=50x-2$$

Answer

$$y=-\frac{1}{2}x+25$$

Answer

$$y=-x+5$$

Question 17

Write a equation in slope-intercept form for the given graph.

Accepted Answer

$$y=-\frac{1}{2}x+\frac{9}{2}$$

Answer

$$y=\frac{9}{2}x+\frac{1}{2}$$

Answer

$$y=x-1$$

Answer

$$y=\frac{9}{2}x-\frac{1}{2}$$

Question 18

Write a equation in slope-intercept form for the given graph.

Accepted Answer

$$y=-\frac{1}{3}x-2$$

Answer

$$y=\frac{1}{3}x+2$$

Answer

$$y=-2x-\frac{1}{3}$$

Answer

$$y=-\frac{1}{3}x$$

Question 19

TJ punted a football during practice and the table below shows the horizontal distance of the football compared to the height of the football. Which quadratic equation best represents the data.

Accepted Answer

$$y=-0.05x^2+5x+1$$

Answer

$$y=5x^2+0.05$$

Answer

$$y=x^2+5x+0.05$$

Answer

$$y=x^2$$

Question 20

Which quadratic equation best represents the graph.

*HINT* Draw a table using the points first.

Accepted Answer

$$g\left(x\right)=-x^2+10x$$

Answer

$$g\left(x\right)=x^2-10x$$

Answer

$$g\left(x\right)=x^2+10x$$

Answer

$$g\left(x\right)=10x^2-1$$

Question 21

Which quadratic equation best represents the graph.

*HINT* Draw a table using the points first.

Accepted Answer

$$g\left(x\right)=-x^2+10x$$

Answer

$$g\left(x\right)=x^2-10x$$

Answer

$$g\left(x\right)=x^2+10x$$

Answer

$$g\left(x\right)=10x^2-1$$

Question 22

What is the standard form of an exponential equation?

Accepted Answer

$$y=a\left(b\right)^x$$

Answer

$$y=ax^2+bx+c$$

Answer

$$y=mx+b$$

Answer

$$f\left(x\right)=a\left(bx-c\right)^2+d$$

Question 23

What is the slope-intercept form of a quadratic function?

Accepted Answer

$$y=ax^2+bx+c$$

Answer

$$y=mx+b$$

Answer

$$f\left(x\right)=a\left(bx-c\right)^2+d$$

Answer

$$y=a\left(b\right)^x$$

Question 24

Which equation best represents the exponential function on the graph.

HINT* Draw a table using the ordered pairs first

Accepted Answer

$$f\left(x\right)=6\left(3\right)^x$$

Answer

$$f\left(x\right)=6\left(9\right)^x$$

Answer

$$f\left(x\right)=6^x$$

Answer

$$f\left(x\right)=3\left(6\right)^x$$

Question 25

Which equation best represents the exponential function on the graph.

HINT* Draw a table using the ordered pairs first

Accepted Answer

$$f\left(x\right)=20\left(\frac{1}{2}\right)^x$$

Answer

$$f\left(x\right)=10\left(\frac{5}{2}\right)^x$$

Answer

$$f\left(x\right)=\frac{5}{2}\left(10\right)^x$$

Answer

$$f\left(x\right)=-\left(2.5\right)^x$$

Question 26

Roman paid $150 to join a handball club. He pays an additional $15 every time he uses one of the club's handball courts. What is the rate of change of the function?

Accepted Answer

15

Answer

150

Answer

10

Answer

$$\frac{1}{10}$$

Question 27

A sunflower in Julia Rosario's garden was 12 centimeters tall when it was first planted. Since then, it has grown approximately 0.6 centimeters per day. What is the Rate of Change for the function?

Accepted Answer

0.6

Answer

12

Answer

200

Answer

$$\frac{1}{20}$$

Question 28

Billy plans to paint baskets. The paint costs $14.50. The baskets cost $7.25 each. What is the slope of the function?

Accepted Answer

$7.25

Answer

$14.50

Answer

$11.60

Answer

$18.13

Writing Equations Using Regression & Finding Slope

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