AnswersPA-Common Core Math 8 Q1Writing Linear Equations Given Two Points

Applying Linear Functions Answers

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The price of a particular stock is represented by the linear equation , where x represents the number of weeks the stock has been owned and y represents the price of the stock, in dollars. If this relationship continues, what is the price of the stock after it has been owned for 12 weeks?

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A
$92.55
B
$94.37
C
$100.52
D
$114.39
2
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In the table below, x represents miles traveled and y represents the cost to travel by train. Miles, xCost, y28.50515.25822.001231.00What is the y-intercept of this function?

A
2.25
B
4.00
C
6.50
D
17.13
3

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.

A
y = 71 x minus 29.82
Option A
B
y = 25 x minus 66
Option B
C
y = 0.42 x + 71
Option C
D
y = 0.42 x + 55
Option D
4

In the table below, x represents the miles traveled and y represents the cost to travel by train. Miles, xCost, y28.50515.25822.001231.00What is the slope of this function?

A
0.44
B
0.63
C
2.25
D
22.50
5

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?

A
y = 2 x + 8.50
Option A
B
y = 2.25 x + 4.00
Option B
C
y = 6.50 x + 2.25
Option C
D
y = 12 x + 22.50
Option D
6

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.

A
15.84 inches
B
27.72 inches
C
29.88 inches
D
67.32 inches
7

A plumber charges a $45 fee to make a house call and then $25 for each hour of labor. The plumber uses an equation in the form to determine the amount to charge each customer. What is the value of m in the equation?m = $

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8

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?

A
y = 60 x
Option A
B
y = 60 x + 480
Option B
C
y = 4 x + 240
Option C
D
y = 270 x
Option D
9

The value of a collectible coin can be represented by the equation , where x represents its age in years and y represents its total value in dollars. What is the value of the coin after 19 years?

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A
$2
B
$23
C
$38
D
$53
10

A florist shop represents its first month’s sales with the equation , where x represents the number of days that the shop is open and y represents the sales in dollars. The owner of the shop would like to calculate the number of days it took to reach $3,200 in sales. Which would be used to solve the problem?

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A
Substitute 3,200 for x.
B
Add 8 and 3,200.
C
Divide 3,192 by 168.
D
Isolate y in the equation.

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