Mr. Cabs has a gold membership at the local pet store to buy cheap mice to feed to his iguanas. The function y = 50 + 0.75x can be used to find the cost of purchasing the gold membership and buying x mice from the store. Based on this information, which statement about the graph of this situation is true?

The y-intercept represents the cost of purchasing the gold membership.

The y-intercept represents the number of mice Mr. Cabs purchased from the store.

The slope of the line represents the cost of purchasing the gold membership.

The slope of the line represents the total number of mice purchased by Mr. Cabs.

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.

Which situation could match the depicted graph?

The rate of change is a constant 25 miles per hour

The rate of change is a loss of one gallon each hour

The rate of change is an increase in temperature related to time

The rate of change describes gas mileage related to engine size

What is the way to describe the rate of change?

Cost per number of units of electricity

Number of units of electricity per cost

What is the rate of change for this situation?

The cost is $110 for every 100 units

There are 660 costs and 600 units of electricity

The cost is $100 for every 110 units

The graph represents the different rates Sam and Kim hiked. Use the legend to determine who hiked at a faster pace.

Their rates cannot be determined from the graph.

Based on the table, determine the rate of change for the situation.

The candle burns an inch every hour.

There are 10 candles burning for 10 hours.

The candle starts at 10 inches tall and after 10 hours it is burned out.

For every hour that goes by, the candle loses an inch in height.

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

Debbie is a server at a new restaurant which is trying a new way to pay their servers. Debbie's total earnings for each day can be represented by the equation y=0.10x +50, where x is Debbie's total food sales for the day. What is represented by the slope in this equation?

Debbie's set commission on her food sales paid for by the restaurant.

Debbie's set salary for the day.

Debbie's portion of beverage sales.

Debbie's free food she gets to eat.

Modeling Relationships with a Line

Authored by Barbara White

Mathematics

8th Grade

CCSS covered

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50 questions

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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.

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

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

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Max puts a stopper in the bathtub and turns on the faucet at t = 0.
After 5 minutes, there are 11 gallons of water in the tub and after 10 minutes, there are 22 gallons in the tub.
Write an equation that relates the number of gallons, g, to the time, t.
Does the relationship represent a linear function? Justify your response.

g = 2.2t; The equation represents a linear function because the equation is in the form y = mx.

g = 2.2t; The equation does not represent a linear function because the equation is not in the form y = mx + b.

g = 4.4t; The equation represents a linear function because the equation is in the form y = mx.

g = 4.4t; The equation does not represent a linear function because the equation is not in the form y = mx + b.

Tags

CCSS.8.EE.B.5

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

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the slope of this graph?

-2

-1/2

1/2

Tags

CCSS.8.EE.B.5

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the equation for this line?

y = x - 2

y = x + 2

y = 2x

y = -x + 2

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

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Modeling Relationships with a Line

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?

What is the slope of this graph?

What is the equation for this line?

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)

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Modeling Relationships with a Line

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?

What is the slope of this graph?

What is the equation for this line?

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)

Access all questions and much more by creating a free account

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?