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Find C and a so that f(x) = Ca* models the situation described. State what the variable x represents in your formula.

In 2000 a house was worth $300,000, and its value decreases by 7% each year thereafter.
=(Type an integer or a decimal.)
C=
a= (Type an integer or a decimal.)
What is the correct interpretation of x?
OA. The variable x represents the initial worth of the house.
OB. The variable x represents the worth of the house t years after 2000.
OC. The variable x represents the rate at which the worth of the house decreases.
OD. The variable x represents the number of years after 2000.
CECE

User Ziga Petek
by
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2 Answers

2 votes

Answer:

Explanation:

The exponential decay formula for this situation is


y=300,000(.93)^x

where 300,000 is the initial value, .93 is decay rate (100% - 7% = 93% which is .93 as a decimal), and x represents the number of years after the year 2000. B is your answer.

User Yaroslav Brovin
by
7.8k points
6 votes

C = 300000

a = -0.07

The correct interpretation of x is OD. The variable x represents the number of years after 2000.

User Fedalto
by
9.0k points

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