Question

1. the function $y = 45x + 6$ can be used to determine the cost for a person to purchase $x$ tickets to a concert. a person can purchase up to 8 tickets. what is an appropriate domain for the function?

a all integers $leq 8$
b all positive integers $leq 8$
c all positive real numbers $leq 8$

Explanation:

The domain represents valid values of $x$ (number of tickets). Tickets are counted in whole, positive units, and the maximum is 8. Option A includes non-positive integers (like 0 or negative numbers) which don't make sense for ticket purchases. Option C uses real numbers, but you can't buy a fraction of a ticket. Only positive whole numbers up to 8 are valid.

Answer:

B. all positive integers ≤ 8