Fill in the blanks.

The value of a motorcycle changes according to the equation V = 11,000(0.89)^t , where V = value in dollars and t = time in years. Use the dropdowns to complete the statements.

In the equation, the number 11,000 represents the blank In the equation, the ___ a. final rate b. Initial rate c. growth rate____of the motorcycle. The value of the motorcycle is ___a. decreasing b. increasing c. staying the same____at a rate of ____a. 0.89% b. 89% c. 0.11% d. 11% e. 11,000% ___ per year.

What does V = 14,000 mean in the context of this problem? Answer choices:
The rate at which it takes the motorcycle to be worth $14,000.
The initial value of the motorcycle is $14,000.
The time it takes for the motorcycle's value to be $14,000.
The value of the motorcycle is $14,000

Is it possible for V = 14,000 in the context of this problem?
A. No, the value cannot be $14,000 since the value is decreasing.
B. Yes, the value can be $14,000 since the value is increasing.
C. Yes, the value can be $14,000 since the value is decreasing.
D. No, the value cannot be $14,000 since the value is increasing.

What does a value of t = -3 mean in the context of this problem? Answer choices:
A. Time being three years before the motorcycle was given an initial value.
B. The time is takes for the value to be $14,000.
C. Time being three years after the motorcycle was given an initial value.
D. It will take three years for the motorcycle's value to depreciate.

1 answer

In the equation, the number 11,000 represents the Initial rate of the motorcycle. The value of the motorcycle is decreasing at a rate of 11% per year.

V = 14,000 means The value of the motorcycle is $14,000 in the context of this problem.

It is possible for V = 14,000 in the context of this problem because the value is increasing.

t = -3 means Time being three years before the motorcycle was given an initial value.
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