Question

use the following exponential function to answer these questions. y = 9000(0.97)^t. 10. what is the initial value? type a response

Explanation:

Step1: Recall exponential form

The general form of an exponential function is \( y = a(b)^t \), where \( a \) is the initial value (when \( t = 0 \)).

Step2: Substitute \( t = 0 \)

For the function \( y = 9000(0.97)^t \), when \( t = 0 \), we have \( (0.97)^0 = 1 \) (since any non - zero number to the power of 0 is 1). Then \( y=9000\times1 = 9000 \).

Answer:

9000