Question

Patty's Pizza charges $5.50 for a large pizza plus $0.30 for each topping. Pizza Town charges $5.00 for a large pizza plus $0.40 for each topping. Which inequality can you use to find the number of toppings x so that the cost of a pizza at Pizza Town is greater than the cost at Patty's Pizza?

A. (5 + 0.4)x > (5.5 + 0.3)x
B. 5.5x + 0.3 > 5x + 0.4x
C. 5.5 + 0.3x > 5 + 0.4x
D. 5 + 0.4x > 5.5 + 0.3x

Answer 1

To find the inequality that represents the number of toppings x for which the cost of a pizza at Pizza Town is greater than the cost at Patty's Pizza, we can set up the inequality $5.00 + $0.40x > $5.50 + $0.30x. Option B, 5.5x + 0.3 > 5x + 0.4x, matches this inequality.

Step-by-step explanation:

To find the inequality that represents the number of toppings x for which the cost of a pizza at Pizza Town is greater than the cost at Patty's Pizza, we need to compare the two costs using variables. Let's set up the inequalities for both places:

Pizza Town: Cost = $5.00 + $0.40x

Patty's Pizza: Cost = $5.50 + $0.30x

Since we want the cost at Pizza Town to be greater, we can set up the following inequality:

$5.00 + $0.40x > $5.50 + $0.30x

This inequality gives us the correct comparison between the two costs, and option B, 5.5x + 0.3 > 5x + 0.4x, matches this inequality.