Question

General admission to the State Fair of Texas is $16.00. For guests to ride the various rides, they must use coupons that cost $0.50 each. The number of coupons needed for each ride varies. The representative function for the situation is C(x) = 0.5x + 16, where C(x) represents total cost as a function of the number of coupons, x. What is the domain for visiting and riding rides at the State Fair of Texas?

A. x ≥ 0, where x is an integer
B. x ≥ 0, x is non-negative
C. x is all real numbers
D. x ≥ $16.00

Answer 1

A

Explanation:

Well, x is the number of coupons (tickets).

Can u buy fractional tickets? NO!

So you can buy 1 coupons, 2 coupons, 3 coupons etc.

We can certainly eliminate C and D.

Now what is the differnce in A and B??

A includes x = 0 and B doesn't.

Well, can you buy 0 coupons? YES! You can just go to the fair and decide NOT to ride anything. That situation is x = 0. So certainly A is the correct domain.