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A junior basketball player has a goal of scoring at least 1000 points during his high school career. His team plays 20 games per year, and after 2 yr he has 320 points. How many points does he have to average per game over his last 2 yr to reach his goal?

A junior basketball player has a goal of scoring at least $1000$ points during his high school career. His team plays $20$ games per year, and after $2$ yr he has $320$ points. How many points does he have to average per game over his last $2$ yr to reach his goal?

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Identify quotients of rational numbers: word problems

Full solution

Q. A junior basketball player has a goal of scoring at least

1000

points during his high school career. His team plays

20

games per year, and after

2

yr he has

320

points. How many points does he have to average per game over his last

2

yr to reach his goal?

Calculate Total Points: Determine the total points the player needs to score to reach his goal. $\newline$ The player's goal is to score $1000$ points during his high school career. He has already scored $320$ points in the first $2$ years. $\newline$ Total points needed = Goal - Points already scored $\newline$ Calculation: $1000 - 320 = 680$ points
Calculate Total Games: Calculate the total number of games the player will play in the last $2$ years. $\newline$ The player has $2$ more years left, and his team plays $20$ games each year. $\newline$ Total games in last $2$ years = Number of years $\times$ Number of games per year $\newline$ Calculation: $2 \times 20 = 40$ games
Calculate Average Points per Game: Calculate the average number of points per game the player needs to score in the last $2$ years to reach his goal. $\newline$ Average points per game needed = Total points needed / Total games in last $2$ years $\newline$ Calculation: $\frac{680}{40} = 17$ points per game

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