Question

The basketball team has been working hard to increase their points scored. The goal is to increase the number by 9% each game. In last week’s game, they scored just 66 points. In this week’s game they scored 72 points. Did they reach their goal this week?
A) No, they increased their score by only 8%.
B) No, they increased their score by only 6%.
C) Yes, they increased their score by 9%.
D) Yes, they increased their score by 8%.

Answer 1

Answer:

Step-by-step explanation:

The goal is to increase the number of points scored by 9% each game. This means that if the number points scored in a game is x, the expected increase in the number in the next game is

9/100 × x × 0.09x

The expected number of points scored in the next game would be x + 0.09x = 1.09x

In last week’s game, they scored just 66 points. The expected number of points scored in this week’s game would be

1.09 × 66 = 71

Therefore, they did not reach their goal this week.

The percent by which the number of points scored increased is

(71 - 66)/66 × 100 = 7.58%

They increased their score by approximately 8%