8.8k views
3 votes
Math on the Spot A pizzeria charges $10 for a large cheese pizza plus $0.50

f(x)
per topping. The total charge for a pizza with x toppings is given by the function
= 0.50x + 10. Describe how the following changes affect the graph.
A. The cheese pizza's cost is increased to $14.
B. The charge per topping is raised to $1.00.

User Shadfc
by
9.1k points

1 Answer

0 votes

Final answer:

The cost increase of a cheese pizza causes a vertical shift upward on the graph, while an increase in charge per topping steepens the slope of the graph.

Step-by-step explanation:

The student's question involves determining how changes in the cost of cheese pizza and the charge per topping affect the graph of the function that represents the total charge for a pizza with x toppings. Originally, the function given is f(x) = 0.50x + 10, where x is the number of toppings.

A. If the cheese pizza's cost is increased to $14, this would change the function to f(x) = 0.50x + 14. On the graph, this shift would represent a vertical shift upwards by $4 since the base cost of the pizza (without toppings) has increased.

B. If the charge per topping is raised to $1.00, the new function would be f(x) = 1.00x + 10. On the graph, this would steepen the slope of the line, indicating that the total cost increases more rapidly with each additional topping.

User VorteXavier
by
8.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories