Question

At a zoo, youth tickets cost $5 and adult tickets cost $9. A group that purchased x youth tickets and y adult tickets spent $90 on tickets.

What is the domain of the relationship?

A.
x ≤ 5
B.
0 ≤ x ≤ 5
C.
0 ≤ x ≤ 18
D.
x ≤ 18

Answer 1

Each person buys there own so there are elderly costs.

Explanation:

A.

x ≤ 5

B.

0 ≤ x ≤ 5

C.

0 ≤ x ≤ 18

D.

x ≤ 18

Answer 2

The answer is option C.

0 <= x <= 18

Explanation:

To find the domain of the relationship in respect to x, we need to find the value of x.

Since;

youth tickets = $5 and

Adult tickets = $9.

Purchased x youth tickets and y adult tickets cost $90

Purchased x youth tickets and y adult tickets = 5x + 9y = 90

5x = 90 - 9y

to find x we divide both side by 5

x = (90-9y)/5

x = 90/5 - 9y/5

x = 18 - 9y/5

Note that in this equation x and y can only be positive value because that are representing number of legible item (ticket)

Therefore:

X can only fall between 0 and 18.

0 <= x <= 18