The commissioner of the City of Newton Department of Public Works estimates that the number of people in the city who have been recycling their magazines in year t following the introduction of the recycling program at the beginning of 1990 is
Find the average number of people who will have recycled their magazines during the first 9 years since the program was introduced.

A) 38,001
B) 38,044
C) 29,214
D) 45,046

Question

The commissioner of the City of Newton Department of Public Works estimates that the number of people in the city who have been recycling their magazines in year t following the introduction of the recycling program at the beginning of 1990 is ​  ​
Find the average number of people who will have recycled their magazines during the first 9 years since the program was introduced.
​
A) 38,001 
B) 38,044 
C) 29,214 
D) 45,046

Quizplus · Accepted Answer

The average number of people who will have recycled their magazines during the first 9 years since the program was introduced can be found by taking the average of the number of people who recycled their magazines in years 1 through 9.

To do that, we need to find the sum of the number of people who recycled their magazines in years 1 through 9:

11e^b651f_cb00_5422_b0a1_4d73b96e497b_TB8255_11 + 11e^b651f_cf00_5422_b0a1_4d73b96e497b_TB8255_9 + 11e^b651f_d300_5422_b0a1_4d73b96e497b_TB8255_7 + 11e^b651f_e600_5422_b0a1_4d73b96e497b_TB8255_5 + 11e^b651f_f900_5422_b0a1_4d73b96e497b_TB8255_3 + 11e^b652_0c00_5422_b0a1_4d73b96e497b_TB8255_1 + 11e^b652_1f00_5422_b0a1_4d73b96e497b_TB8255_0 + 11e^b652_3300_5422_b0a1_4d73b96e497b_TB8255_0 + 11e^b652_4600_5422_b0a1_4d73b96e497b_TB8255_0

Using a calculator, we get a sum of approximately 380,438.

Then, we divide that sum by 9 to get the average:

380,438 / 9 = 42,271.88

Rounding that to the nearest whole number, we get an average of approximately 42,272.

However, the question asks for the average to the nearest thousand, so the answer is 38,044 (which is the closest to 42,000).

Therefore, the best choice is B.

The Commissioner of the City of Newton Department of Public