b Use the information obtained in your research to write a linear function of the form y=mx+b.
C
c Plot the points of the spreadsheet on a coordinate plane and connect them with a straight line.
A
aExample Solution:
B
bExample Solution: V=- 400t+8100
C
cExample Solution:
Practice makes perfect
<listcircle icon="a">Joseph purchases a car for $8100. Doing some online research, we found that the car depreciates $400 each year. The spreadsheet shows how the car depreciates over a five-year period.
b We want to write a linear function that models the depreciation. Let t be the number of years since Joseph bought the car, and V the value of the car after t years.
V=mt+b
Since the initial value of the car is $8100, we have that b=8100. Moreover, since the car depreciates $400 each year, the value of m is - 400. We can now write a linear function that models the depreciation.
V=- 400t+8100
c Finally, we will draw the graph of the function obtained in Part B. To do so, we will plot the points of the spreadsheet in a coordinate plane, and connect them with a straight line.
