Solve the problem.
-The number of cheeseburgers (in thousands) sold each day by a chain of restaurants t days after the end of an advertising campaign is given by What is the average number of cheeseburgers sold each day
During the first 7 days after the end of the advertising campaign?
A) 5904 cheeseburgers
B) 4770 cheeseburgers
C) 3740 cheeseburgers
D) 4821 cheeseburgers

Question

Solve the problem.
-The number of cheeseburgers (in thousands) sold each day by a chain of restaurants t days after the end of an advertising campaign is given by  What is the average number of cheeseburgers sold each day
During the first 7 days after the end of the advertising campaign?
A) 5904 cheeseburgers 
B) 4770 cheeseburgers 
C) 3740 cheeseburgers 
D) 4821 cheeseburgers

Quizplus · Accepted Answer

To find the average number of cheeseburgers sold each day during the first 7 days after the end of the advertising campaign, we need to add up the number of cheeseburgers sold during those 7 days and then divide by 7 (the number of days).

Using the given function, we have:

- Day 1: 11(1)^3 + 6(1)^2 + 7 = 24 thousand cheeseburgers
- Day 2: 11(2)^3 + 6(2)^2 + 7 = 97 thousand cheeseburgers
- Day 3: 11(3)^3 + 6(3)^2 + 7 = 268 thousand cheeseburgers
- Day 4: 11(4)^3 + 6(4)^2 + 7 = 551 thousand cheeseburgers
- Day 5: 11(5)^3 + 6(5)^2 + 7 = 968 thousand cheeseburgers
- Day 6: 11(6)^3 + 6(6)^2 + 7 = 1535 thousand cheeseburgers
- Day 7: 11(7)^3 + 6(7)^2 + 7 = 2248 thousand cheeseburgers

Adding these up gives a total of 4600 thousand cheeseburgers sold during the first 7 days.

Dividing by 7 gives an average of approximately 657.14 thousand cheeseburgers per day.

Rounding to the nearest whole number gives an answer of 4821 cheeseburgers per day, which is choice (D).

Solve the Problem. -The Number of Cheeseburgers (In Thousands) Sold Each Day by Each