Question

Jeremiah loves playing basketball. Of 13 shots taken, Jeremiah has made 12. He wants to increase his success rate to more than 95%. Write a function that could display this.

Answer 1

The function for the success rate is given as follows;

`The \ success \ rate \ function \ is \, f(x) = (12+x)/(13+x) * 100`

Explanation:

The number of shots Jerimiah made = 12 shots

The number of shots Jerimiah takes = 13 shots

`The \ success \ rate = (The \ number \ of \ shots \ made)/(The \ number \ of shots \ taken) * 100`

The current success rate is given as follows;

`The \ success \ rate = (12)/(13) * 100 \approx 92.31 \%`

Let 'x' represent the number of more shots Jerimiah has to make to have a success rate of 95%, we get;

`The \ success \ rate \ function, \, f(x) = 95\% = (12+x)/(13+x) * 100`

0.95·(13 + x) = 12 + x

12.35 + 0.95·x = 12 + x

0.35 = 0.05·x

x = 0.35/0.05 = 7

Therefore, Jeremiah has to make the next seven shots to have a success rate of 95%