A pizza restaurant, Pizz-A, plans on selling 115 pizzas daily for delivery. For every 15 customers who eat in the restaurant, an additional 4 pizzas will be sold.

Part A: Write an equation to represent the situation. Identify the meaning of all variables used.

Part B: What would an increase in the y-intercept represent?

Part C: Create a second equation for an eat-in only restaurant, in the same chain, with a lower proportion of customers to pizzas sold. Does this equation have the same intercept and slope? Explain your reasoning.

Question

29-09-2014
Mathematics

Answered

A pizza restaurant, Pizz-A, plans on selling 115 pizzas daily for delivery. For every 15 customers who eat in the restaurant, an additional 4 pizzas will be sold.

Part A: Write an equation to represent the situation. Identify the meaning of all variables used.

Part B: What would an increase in the y-intercept represent?

Part C: Create a second equation for an eat-in only restaurant, in the same chain, with a lower proportion of customers to pizzas sold. Does this equation have the same intercept and slope? Explain your reasoning.

Answer :

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TaylorBayley TaylorBayley · Answer 1 · 2014-09-29T13:27:36-04:00

A: y=115+4(n/15) where n is the number of customers.
y=115+4n/15

B: An increase in the y intercept would mean the base number of pizzas they sold would be higher. The gradient would remain the same.

C: Say they sold an additional 4 for every 4 customers instead.
y=115+4(n/4)
y=115+4n/4
The gradient in this case would be 1.
I.e. the gradient would be different however the intercept would be the same as they are still selling the same number of pizzas.