Question

Kellie scored between 10 and 12 points in each of the first 5 games of the basketball season. At this rate, how many games will it take Kellie to score 150 total points?

Between 6 and 8?
Between 9 and 12?
Between 13 and 15?
Between 16 and 18?

Answer 1

It will take Kalie between 13 to 15 games to score 150 points.

Explanation:

Given:

Range of points scored in each game is between 10 to 12.

Total points scored = 150

Case 1: Points scored in each game be 10.

Total points scored = 150

Points scored in each game = 10

Therefore, number of games played,
`n_(1)=\frac{\textrm{Total points scored}}{\textrm{Points scored in 1 game}}=(150)/(10)=15`

Case 2: Points scored in each game be 12.

Total points scored = 150

Points scored in each game = 12

Therefore, number of games played,
`n_(2)=\frac{\textrm{Total points scored}}{\textrm{Points scored in 1 game}}=(150)/(12)=12.5\approx 13`

Therefore, on combining the above two cases, we can conclude that Kalie has to play between 13 to 15 games to score a total of 150 points.