The function V(x)=650(0.77)^x models the change in yearly value for Anya’s cellphone. What was the original value of the cellphone? Does the function represent exponential growth or decay?
A. The original value of the cellphone was $650, and the function represents exponential decay.
B. The original value of the cellphone was $500.50, and the function represents exponential decay.
C. The original value of the cellphone was $500.50, and the function represents exponential growth.
D. The original value of the cellphone was $650, and the function represents exponential Growth.
To find the original value of the cellphone, we need to find the value when x = 0. Plugging in x = 0 into the function, we get V(0) = 650(0.77)^0 = 650(1) = 650. Therefore, the original value of the cellphone was $650.
The function V(x)=650(0.77)^x represents exponential decay because the base, 0.77, is less than 1, indicating a decay in value over time. Thus, the correct answer is A. The original value of the cellphone was $650, and the function represents exponential decay.