Solve y=f(x) for x. Then find the input when the output is – 3. f(x) = 1/2x-3
x=
The input is
when the output is -3.

Given:

To find:

The input when the output is – 3.

Solution:

We have,

Substituting , we get

              ...(i)

We need to find the input when the output is – 3. It means, we have to find the value of x when .

Putting in (i), we get

Multiply both sides by 2.

Therefore, the input is 0 when the output is -3.

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