Question

Jane orders cheese pizzas from a pizza restaurant that charges $8.00 per pizza. Jane has only $45.00 to spend on pizza. Jane's cost, in dollars, is a function of the number of pizzas she orders.

A. The domain is the set of all integers from 0 to 5.
B. The domain is the set of all real numbers from 0 to 5.
C. The range is the set of all integers from 0 to 40.
D. The range is the set of all real numbers from 0 to 40.
E. The range is the set of all multiples of 8 from 0 to 40.

Answer 1

The correct domain for the number of pizzas Jane can order is the set of all integers from 0 to 5, and the correct range is the set of all multiples of 8 from 0 to 40.

Step-by-step explanation:

Jane's cost per pizza is a function of the number of pizzas she orders, with each pizza costing $8.00. Since she has $45.00 to spend, we can calculate the maximum number of pizzas she can purchase. By dividing her total budget of $45.00 by the cost per pizza, $8.00, we find that Jane can order up to 5 pizzas (since 5 pizzas × $8.00/pizza = $40.00, and 6 pizzas would cost $48.00, which is beyond her budget).

With this in mind, the correct domain for the number of pizzas Jane can order is the set of all integers from 0 to 5, because Jane can't order a fraction of a pizza, and she can't order more pizzas than she can afford. Therefore, the correct answer is: A. The domain is the set of all integers from 0 to 5.

Regarding the range, since the cost increases in increments of $8.00 with each additional pizza, and Jane can spend a maximum of $40.00, the correct range is the set of all multiples of 8 from 0 to 40. Hence, the correct answer is: E. The range is the set of all multiples of 8 from 0 to 40.