13. Uptown Pizza charges $7 per medium pizza and a $3 delivery fee.
Proportional or Non-Proportional
cost = 7 x + 3
straight line but y = mx + b not y = m x
To determine whether the relationship between the cost of the medium pizza and the delivery fee is proportional or non-proportional, we need to examine how the cost changes as the number of pizzas and the delivery fee increases.
In this case, Uptown Pizza charges a flat rate of $7 per medium pizza and a $3 delivery fee. Let's consider the scenarios:
1. If you order one medium pizza, the cost would be $7 for the pizza plus the $3 delivery fee, resulting in a total cost of $10.
2. If you order two medium pizzas, the cost would be $14 for the pizzas plus the $3 delivery fee, resulting in a total cost of $17.
3. If you order three medium pizzas, the cost would be $21 for the pizzas plus the $3 delivery fee, resulting in a total cost of $24.
From these calculations, we can see that as the number of pizzas increases, the total cost increases as well. This indicates a non-proportional relationship because the ratio between the cost of the pizzas and the delivery fee is not constant. In a proportional relationship, the ratio would remain the same regardless of the quantity.
Therefore, the relationship between the cost of the medium pizza and the delivery fee at Uptown Pizza is non-proportional.