Question

A basketball player had scored 879 points in 34 games. a) At this rate, how many games will it take him to score 1500 points? b) There are 82 games in an entire season. At this rate, how many points would he score in the entire season? a) It will take him approximately games to score 1500 points . (Round up to the next whole number of games.) b) At this rate, he would score approximately (Round to the nearest one if necessary.) points in the entire season. Enter your answer in each of the answer boxes.

Answer 1

We know that he scored 879 points in 34 games, so we can calculate the average rate as:

$r=\frac{879\text{ points}}{34\text{ games}}=25.85\text{ points/game}\approx26\text{ points/game}$

At this rate, we can calculate the total points P by multiplying the rate r by the number of games n:

$P=r\cdot n=25.85\cdot n$

We can calculate how many games are needed for P=1500 as:

$\begin{gathered} P=26\cdot n=1500 \\ n=\frac{1500}{25.85}\approx58.02\approx58\text{ games} \end{gathered}$

For n=82 games, the expected number of points P is:

$P=25.85\cdot n=25.85\cdot82=2119.7\approx2120\text{ points}$

Answer:

a) It will take him approximately 58 games to score 1500 points.

b) At this rate, he would score approximately 2120 points in the the entire season.