The total number of burgers sold from a restaurant from Monday to Sunday can be modeled by the function f (d) = 200d^3 + 542d^2 + 179d + 1605 and the number of visitors to the restaurant from Monday to Sunday can be modeled by g (d) = 100d + 321, where d is the number of days since Monday. What is the average number of burgers per person?

Question

Roderick Matthews

Mathematics

15 May, 13:06

The total number of burgers sold from a restaurant from Monday to Sunday can be modeled by the function f (d) = 200d^3 + 542d^2 + 179d + 1605 and the number of visitors to the restaurant from Monday to Sunday can be modeled by g (d) = 100d + 321, where d is the number of days since Monday. What is the average number of burgers per person?

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Nicholas Ramirez · Answer 1

Average = 96

Step-by-step explanation:

Average = sum of terms / number of terms

sum of terms = number of burgers sold

number of terms = number of visitors

d = number of days since Monday which is 7

burgers sold = 200d^3 + 542d^2 + 179d + 1605 substituting d with 7

burgers sold = 200 (7) ³ + 542 (7) ² + 179 (7) + 1605

burgers sold = 68600 + 26558 + 1253 + 1605

burgers sold = 98016

number of visitors = 100d + 321

number of visitors = 100 (7) + 321

number of visitors = 700+321

number of visitors = 1021

Average = 98016/1021

Average = 96