Explain why the initial value of any function in the form of F(x)=a(b^x) is equal to a

When comes to initial value, x is equals to 0.

So x = 0 is substitute into the function.

In Indices Law, any values to the power of 0 will be 1.

So the initial value of function will be :

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