Question

mama mia’s pizza sells medium pizza for $7 each and charges a $2 delivery fee per order. which describes this relationship? a proportional function with a y-intercept of 7; a non-proportional function with a y-intercept of 2; a non-proportional function with a y-intercept of 7; a proportional function with a y-intercept of 2

Explanation:

Step1: Define the cost function

Let \( x \) be the number of pizzas and \( y \) be the total cost. The cost of pizzas is \( 7x \) and the delivery fee is \( 2 \), so the total cost function is \( y = 7x + 2 \).

Step2: Analyze proportionality

A proportional function has the form \( y = kx \) (no constant term). Here, we have a constant term \( 2 \), so it's non - proportional.

Step3: Find the y - intercept

For a linear function \( y = mx + b \), the y - intercept is \( b \). In \( y = 7x+2 \), \( b = 2 \), so the y - intercept is 2.

Answer:

B. a non - proportional function with a y - intercept of 2