Applying Linear Functions

Question 1

The cost of a service call to fix a washing machine can be expressed by the linear function , where y represents the total cost and x represents the number of hours it takes to fix the machine. What does the slope represent?

Revolt · Accepted Answer

the cost for each hour it takes to repair the machine

Question 2

Catherine saved some money and plans to add the same amount each week to her savings account. The table represents the number of weeks that she will save, x, and the total amount of money that she will have in her account, y. Weeks, xDollars in account, y 474686910411116 Which linear equation represents Catherine’s situation?

Revolt · Accepted Answer

y = 6 x + 50

Question 3

The cost of a service call to fix a washing machine can be expressed by the linear function , where y represents the total cost and x represents the number of hours it takes to fix the machine. What does the y-intercept represent?

Revolt · Accepted Answer

the service fee for coming to look at the machine

Question 4

In the table below, x represents miles traveled and y represents the cost to travel by train. Miles, xCost, y28.50515.25822.001231.00Which linear equation represents the situation?

Revolt · Accepted Answer

y = 2.25 x + 4.00

Question 5

The value of a collectible coin can be represented by the equation , where x represents the number of years that Consuello has owned the coin and y represents the total value, in dollars, of the coin. What was the value of the coin when Consuello originally purchased it?

Revolt · Accepted Answer

$9.74

Question 6

Bob and Carl each rented the same kind of moving truck from EZ Move. There was a flat rental fee plus a charge per mile that the truck was driven. Bob’s cost for his truck was $112.96 for 138 miles. Carl’s cost for his truck was $142.78 for 209 miles. Which equation can be used to represent the cost of the rental truck? Round to the nearest hundredth if necessary.

Revolt · Accepted Answer

y = 0.42 x + 55

Question 7

The graph shows the amount of water that remains in a barrel after it begins to leak. The variable x represents the number of days that have passed since the barrel was filled, and y represents the number of gallons of water that remain in the barrel. What is the slope of the line?

Revolt · Accepted Answer

–2

Question 8

The graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.What does the y-intercept represent?

Revolt · Accepted Answer

Tammy initially had $10 pay.

Question 9

A linear function can be used to estimate the decrease in snowfall measured since 1920. The decrease in the annual snowfall has been on average 0.24 inches per year. Let x represent the number of years since 1920, when the measurements began, and let y represent the annual snowfall. The initial measurement in 1920 was 48.6 inches. Using the average change and initial measurement, which is the best estimate of the annual snowfall in the 78th year after records were kept? Round to the nearest hundredth.

Revolt · Accepted Answer

29.88 inches

Question 10

The table represents the total miles traveled, y, after a number of hours, x.Hours, xMiles, y2.51504.02405.53307.0420Which linear equation represents the situation?

Revolt · Accepted Answer

y = 60 x

Applying Linear Functions Answers

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