contestada

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?

Respuesta :

MrRoyal

Answer:

[tex]0 \leq p < 6[/tex]

Step-by-step explanation:

Given

[tex]t = 6.95p + 29.95[/tex]

[tex]Amount = 70[/tex]

Required

Determine the domain

First, we need to solve for p

Substitute 70 for t in [tex]t = 6.95p + 29.95[/tex]

[tex]70 = 6.95p + 29.95[/tex]

Collect Like Terms

[tex]6.95p = 70 - 29.95[/tex]

[tex]6.95p = 40.05[/tex]

Solve for p

[tex]p = 40.05/6.95[/tex]

[tex]p = 5.76[/tex]

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

Hence, the domain can be represented as: [tex]0 \leq p < 6[/tex]

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