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A pizza buffet has prepared 15 pizzas to place on the line at the beginning of lunch at 11:00 a.m. The equation used to describe the total number of pizzas that have been placed out on the buffet line is shown below.


y = 11x + 15


If x represents every 8 minutes after 11:00 a.m, which statement best describes the rate of change in the number of pizzas set out on the buffet?


A.

Every 16 minutes, 11 more pizzas were set out on the buffet.

B.

Every 16 minutes, 22 more pizzas were set out on the buffet.

C.

Every 16 minutes, 32 more pizzas were set out on the buffet.

D.

Every 8 minutes, 21 more pizzas were set out on the buffet.


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Answer:

B. Every 16 minutes, 22 more pizzas were set out on the buffet.

Step-by-step explanation:

At 11:00 am, x would be equal to 0, and there would be 15 pizzas on the buffet line. Then, every 8 minutes, 11 more pizzas are added to the buffet line. So in 16 minutes, 22 pizzas will be added to the buffet.

[tex]\frac{16}{8} =2\\(11)(2) = 22[/tex]

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