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

Answer:

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

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

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

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

Step-by-step 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

$a=1,b=1.4$