Writing and Interpreting Linear Functions Review

The function

 $f\left(x\right)=-0.25x+5$  models the height of a candle x seconds after it is lit. What is the meaning of the y-intercept of the function.

• the initial height of the candle

• the final height of the candle

• the rate at which the candle is burning

• the amount of time it will take the candle to burn

Tags

CCSS.HSF.LE.B.5

The boiling point of water, T (measured in degrees), at an altitude a (measured in feet) is modeled by the function

 $T\left(a\right)=-0.0018a+212$  . In terms of altitude and temperature, which statement describes the meaning of the slope?

• The boiling point increases by 18 degrees as the altitude increases by 1,000 feet.

• The boiling point increases by 1.8 degrees as the altitude increases by 1,000 feet.

• The boiling point decreases by 18 degrees as the altitude increases by 1,000 feet.

• The boiling point decreases by 1.8 degrees as the altitude increases by 1,000 feet.

Tags

CCSS.HSF.LE.B.5

Dennis compared the y-intercept of the graph of the function

 $f\left(x\right)=3x+5$   to the y-intercept of the graph of the linear function that include the points in the table. What is the difference when the y-intercept of f(x) is subtracted from the y-intercept of g(x)? 

• -11.0

• -9.3

• 0.5

• 5.5

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Suppose that the function

 $f\left(x\right)=2x+12$  represents the cost to rent x movies a month from an internet movie club. Makayla now has $10. How many more dollars does Makayla need to rent 7 movies next month?

• 7

• 26

• 16

• 10

Tags

CCSS.HSF.LE.B.5

The table shows the distance a car has traveled. What is the meaning of the slope of the linear model for the data?

• The car travels 5 miles every minute.

• The car travels 4 miles every minute.

• The car travels 4 miles every 5 minutes.

• The car travels 5 miles every 4 minutes.

Tags

CCSS.HSF.LE.B.5

Allie orders candles from an online company that offers flat rate shipping. It costs $7.50 per candle. She placed an order for 4 candles for $35.

Write an equation to model Allie's total cost for x candles.

• y = 7.50x + 35

• y = 7.50x + 5

• y = 4x + 35

• y = 35x + 4

Tags

CCSS.6.EE.C.9

Richard owns a plumbing company. He charged one client $72 for two hours of work and another client 162 for five hours of work.

Write an equation to model the total amount due after x hours of work.

• y = 2x + 72

• y = 5x + 162

• y = 30x + 12

• y = 12x + 30

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

This graph shows the increase in oven temperature over time (minutes).

What is the meaning of the y-intercept?

• The temperature started at 0°

• The temperature started at 70°

• The temperature increased at a rate of 40° per minute

• The temperature increased at a rate of 150° per minute

Tags

CCSS.HSF.LE.B.5

This graph shows the number of hand-crafted bookmarks Angela designs and sells compared to the total money she earns. What is the rate of change for the function?

• $2 per bookmark

• $2.50 per bookmark

• $4 per bookmark

• $5.50 per bookmark

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Sandra has a $20 itunes gift card and spends $3 each month.  Which equation can be used to find how much money Sandra has on her giftcard after x months?

• y = 3x + 20
• y = 3 + 20x
• y = -3x + 20
• y = -20x + 3

Tags

CCSS.6.EE.C.9