Question

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

Answer 1

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.

Answer 2

C = 300000

a = -0.07

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