Question

let v be the value (in thousands of dollars) of a car when it is t years old. some pairs of values of t and v are listed in the following table.

t years	1	3	5	7	9

complete parts a to e.

(images of graphs labeled c and d, with v on y - axis and t on x - axis, showing lines through data points)

b. estimate the age of the car when it is worth $12 thousand.
the age of the car is 4 years when it is worth $12 thousand.
c. estimate the value of the car when it is 2 years old.
the value of the car is $\square$ thousand when it is 2 years old.

Explanation:

Step1: Analyze the pattern

From the table, when t increases by 2 (e.g., from 1 to 3, 3 to 5, etc.), v decreases by 4 (18 to 14, 14 to 10, etc.). So the rate of change is -4 per 2 years, or -2 per year.

Step2: Calculate for t=2

At t=1, v=18. For t=2 (1 year later), v should decrease by 2. So 18 - 2 = 16.

Answer:

16