Question

General admission to Paul’s Pumpkin Patch is $8.00. For children to ride the various rides, they must use tickets that cost $1.00 each. The number of tickets needed for each ride varies. The function for this situation is P(x) = x + 8, where P(x) represents total cost as a function of the number of tickets, x. What is the domain for visiting and riding rides at Paul’s Pumpkin Patch?

A. P(x) ≥ $8.00
B. x is all real numbers
C. x ≥ 0, where x is non-negative
D. x ≥ 0, x is an integer

Answer 1

Given:

Total cost P(x) as a function of the number of tickets, x is

`P(x)=x+8`

To find:

The domain for visiting and riding rides at Paul’s Pumpkin Patch.

Solution:

Domain is the set of input values.

Here, domain is x and it represents the number of tickets.

We know that, number of tickets cannot be negative or decimal or fraction vales. So, x must be non-negative and integer value.

Domain = x ≥ 0, x is an integer

Therefore, the correct option is D.