Question

Answer this correctly.
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.

Answers

GPT 3.5
In the equation, the number 11,000 represents the ___b. Initial rate__ of the motorcycle. The value of the motorcycle is __a. decreasing__ at a rate of __b. 89%__ per year.

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

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

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

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