The value of a motorcycle changes according to the equation V=5,000(1.03)^t, where V=value in dollars and t= time in years.

In the equation, the number 5,000 represents the ___ of the motorcycle. The value of the motorcycle is ___ at a rate of ___ per year.

What does V=9000 mean in the context of this problem?

a. The rate at which it takes the motorcycle to be worth $9000
b. The time it takes for the motorcycle's value to be $9000
c. The value of the motorcycle is $9000
d. The initial value of the motorcycle is $9000

What does a value of t = -3 mean in the context of this problem?

a. The time is takes for the value to be $5000
b. Time being three years after the motorcycle was given an initial value
c. It will take three years for the motorcycle's value to depreciate
d. Time being three years before the motorcycle was given an initial value

1 answer

The number 5,000 represents the initial value of the motorcycle. The value of the motorcycle is increasing at a rate of 3% per year.

V=9000 means that the value of the motorcycle is $9000.

A value of t = -3 means that it is three years before the motorcycle was given an initial value.