Question

The total cost in dollars for Larry to have his birthday party at a local

Trampoline Park can be found using the function t = 6.95p + 29.95, where p is
the number of people who will attend the party. If Larry only has $70 to spend on
his party, which of the following could represent the domain of the function?

Answer 1

`0 \leq p < 6`

Explanation:

Given

`t = 6.95p + 29.95`

`Amount = 70`

Required

Determine the domain

First, we need to solve for p

Substitute 70 for t in
`t = 6.95p + 29.95`

`70 = 6.95p + 29.95`

Collect Like Terms

`6.95p = 70 - 29.95`

`6.95p = 40.05`

Solve for p

`p = 40.05/6.95`

`p = 5.76`

This implies that Larry can not invite up to 6 people.

Hence, the domain can be represented as:
`0 \leq p < 6`