Question

Pat bounces a basketball 23 times in 30 seconds. At that rate, approximately how manytimes will Pat bounce the ball in 150 seconds?

Answer 1

Given: That Pat bounces a basketball 23 times in 30 seconds

To Determine: The rate of bouncing for 150 seconds

Solution

$rate=\frac{number\text{ of bpunces}}{number\text{ of seconds}}$

Let the number of bounces for 150 seconds be x, therefore comparing the rate would give

$\frac{23}{30}=\frac{x}{150}$

Cross multiply

$30x=23\times150$

Divide both sides by 30

$\begin{gathered} \frac{30x}{30}=\frac{23\times150}{30} \\ x=23\times5 \\ x=115 \\ x\approx120 \end{gathered}$

Hence, the approximate rate