Which situation can be represented by y = 17x - 8 ?

The cost, y, of buying Star Wars figurines at $17 each with an $8 discount.

The number of seeds, y, needed to feed 8 hamsters 17 seeds each.

The earnings from a lemonade stand, y, selling glasses at 17 dollars each with $8 in the tip jar.

The cost, y, of buying 17 movie tickets that sell for $8 each.

What is the way to describe the rate of change?

Cost per number of units of electricity

Number of units of electricity per cost

Brandon works in a shoe store. His daily earnings, y, are represented by the equation y = 20x + 75 based on selling x pairs of shoes. What is represented by the slope in this equation?

The amount of money Brandon earns for each pair of shoes he sells

The total pairs of shoes Brandon sells each day

The total amount of money Brandon earns each day

The amount of money Brandon earns each day, even if he sells no shoes

The distance in miles, y, a rower in a canoe is from the dock after rowing x hours is represented by the equation y = 5x + 11. What does the y-intercept represent in this situation?

The distance the rower is from the dock when he began rowing.

The average speed of the oar as it passes through the water

Construct a Function to Model Linear Relationship

Quiz

•

Mathematics

•

8th Grade

•

Practice Problem

•

Hard

•

CCSS

8.F.B.4, 8.F.A.3, 8.EE.B.5

+6

Standards-aligned

Barbara White

FREE Resource

23 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

How can you write the equation for a linear function if you know only two ordered pairs for the function?

Use the two ordered pairs to find the slope (m). Then substitute the slope and one set of ordered pairs into y=mx+b to solve for b.

Use the two ordered pairs to find the y-intercept (b). Then substitute the y-intercept and one set of ordered pairs into y=mx+b to solve for m.

Use the two ordered pairs to find the value of y. Then substitute the the value of y and one set of ordered pairs into y=mx+b to solve for x.

Use the two ordered pairs to find the value of x. Then substitute the the value of x and one set of ordered pairs into y=mx+b to solve for y.

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A line passes through the points (5, –7.5) and has a y-intercept 10.
Which is a linear function in the form of y = mx + b for this line?

y = 0.5x + 10

y = –1.5x + 10

y = –3.5x + 10

y = 10x – 3.5

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Write a function in the form y=mx+b for the line that passes through the points (2,4) and (6,16)

y = 3x - 2

y = 2x + 4

y = 6x + 16

y = 2x + 6

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Sierra is building a skateboard ramp.
She wants the ramp to have a height, h, of 15 inches and a base length, l, of 54 inches.
Which linear function models the situation?

y = (5/18)x

y = (18/5)x

y = 5x + 18

y = 18x + 5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is in slope-intercept form?

y=10x-7

y-5=3(x-1)

5x-y=12

6x+2y-15=0

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Is this function linear or nonlinear?

Linear

Nonlinear

Tags

CCSS.8.F.A.3

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the slope given the following points: (5,1) and (3,1)

m=1/4

m=0

m=1

m=undefined

Tags

CCSS.8.EE.B.5

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Construct a Function to Model Linear Relationship

23 questions

How can you write the equation for a linear function if you know only two ordered pairs for the function?

A line passes through the points (5, –7.5) and has a y-intercept 10.
Which is a linear function in the form of y = mx + b for this line?

Write a function in the form y=mx+b for the line that passes through the points (2,4) and (6,16)

Sierra is building a skateboard ramp.
She wants the ramp to have a height, h, of 15 inches and a base length, l, of 54 inches.
Which linear function models the situation?

Which of the following is in slope-intercept form?

Is this function linear or nonlinear?

Find the slope given the following points: (5,1) and (3,1)

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

Which equation matches the table?

What is the slope?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Construct a Function to Model Linear Relationship

23 questions

How can you write the equation for a linear function if you know only two ordered pairs for the function?

A line passes through the points (5, –7.5) and has a y-intercept 10.Which is a linear function in the form of y = mx + b for this line?

Write a function in the form y=mx+b for the line that passes through the points (2,4) and (6,16)

Sierra is building a skateboard ramp.She wants the ramp to have a height, h, of 15 inches and a base length, l, of 54 inches.Which linear function models the situation?

Which of the following is in slope-intercept form?

Is this function linear or nonlinear?

Find the slope given the following points: (5,1) and (3,1)

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

Which equation matches the table?

What is the slope?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

A line passes through the points (5, –7.5) and has a y-intercept 10.
Which is a linear function in the form of y = mx + b for this line?

Sierra is building a skateboard ramp.
She wants the ramp to have a height, h, of 15 inches and a base length, l, of 54 inches.
Which linear function models the situation?