Question

Identify the initial amount a and the growth factor b in the exponential function. A(x)=30*8.3^x

A.) 30 8.3x,
B.) 30, 8.3
C.) 8.3x, 30
D.) 8.3, 30

Answer 1

Option B is correct.

Initial amount (a) = 30 and growth factor(b) = 8.3

Explanation:

An exponential function is of the form:
`y =ab^x` ....[1]

where

a represents the initial amount

b represents the growth factor and x is the variable

Given the function:
`A(x) = 30 \cdot (8.3)^x`

On comparing given equation with [1] we get;

a = 30 and b = 8.3

Therefore, the initial amount(a) = 30 and growth factor(b) = 8.3