SOLUTION: The equation V = -2000t + 21,000 describes the value in dollars of a certain model of car after it is t years old. If a car is worth $11,000, substitute 11,000 into the equation to

Question 105730: The equation V = -2000t + 21,000 describes the value in dollars of a certain model of car after it is t years old. If a car is worth $11,000, substitute 11,000 into the equation to find the age of the car.
Please explain step-by-step.
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Given that the value of a car (V) that is t years old is given by the equation:
.
V = -2000t + 21,000
.
The problem tells you that the value of a car is $11,000 and asks you how many years old
the car is ... where t is the age of the car. Substitute 11000 for V in the equation to
get:
.
11000 = -2000t + 21000
.
Get rid of the 21000 on the right side by subtracting 21000 from both sides to change the
equation to:
.
-10000 = -2000t
.
Now solve for t by dividing both sides of this equation by -2000 and you have:
.
-10000/-2000 = t
.
Doing the division on the left side results in:
.
5 = t
.
The car is 5 years old.
.
Hope this helps you to understand this problem and how to find the answer.
.

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