Identify the initial amount a and the growth factor b in the exponential function. g(x) = 20 • 2x

Initial amount: 20

Growth factor: The amount doubles for every integer increase of x

Step-by-step explanation:

I think the equation should be g(x) = 20(2^x) for it to be exponential.

The general form of an exponential equation is g(x) = a(b^x), where a is the initial amount when x = 0, and b is the base, or growth factor.

We can see the amount double by evaluating a few value..

g(0) = 20(2^0) = 20(1) = 20   (initial amount)

g(1) = 20(2^1)  =  20(2) = 40

g(2) = 20(2^2) = 20(4) = 80

g(3) = 20(2^3) = 20(8) = 160

This pattern will continue on

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt

the answer would be 1 1/72

step-by-step explanation:

you can rewrite the equation by separating the parts and then solving individually:

10-9=1

1/8 - 1/9=

find l c d and then combine:

1 1/72