Question

Last season, a lacrosse player scored 41 points in 15 games.So far this season, the player has scored 24 points in 9 games.a. Does the player have a greater number of goals per game thisseason compared with last season?b. Suppose the player plays in as many games this season as lastseason and continues to score at this season’s rate. Write and solve aproportion to find the number of goals the player will score thisseason.

Answer 1

1.) No

2.) 40 goals

Explanation:

Given the following :

Last season:

Games played = 15

Points scored = 41

Current season:

Games played = 9

Points scored = 24

A)

Last season:

Goals per game = total points / number of games

Goals per game = 41 / 15 = 2.733

Current season :

Goals per game = total points / number of games

Goals per game = 24 / 9 = 2.667

Last season's goal per game is greater than that of current season.

B)

Current rate = goals / games = 24/9 - - - (1)

Let points to be scored this season = y

Ratio of y to number of games played last season = y / 15 - - - (2)

Equate both

24 / 9 = y / 15

9 * y = 24 * 15

y = 360 / 9

y = 40