Question

Identify the initial amount a and the growth factor b in each exponential function.

See page 464 in your textbook if you need help.

A. g(x) = 14 • 2X

B. y = 150 • 1.0894X


C. y = 25,600 • 1.01X

D. f(t) = 1.4t

Answer 1

Part A)
`a=14,b=2`

Part B)
`a=150,b=1.0894`

Part C)
`a=25,600,b=1.01`

Part D)
`a=1,b=1.4`

Explanation:

we know that

The equation of a exponential function is of the form

`y=a(b^x)`

where

a is the initial value

b is the growth factor

Part A) we have

`g(x)=14(2^x)`

In this problem

`a=14,b=2`

Part B) we have

`y=150(1.0894^x)`

In this problem

`a=150,b=1.0894`

Part C) we have

`y=25,600(1.01^x)`

In this problem

`a=25,600,b=1.01`

Part D) we have

`f(t)=1.4^t`

In this problem

`a=1,b=1.4`