Q4. - Algebra 1

Question

EXERCISE, It takes 7 minutes for Isabella to walk around the gym track twice. At this rate, how many times can Isabella walk around the track in a half hour?

Step-by-Step Solution

Answer

The number of rounds in 30 seconds is $n=8\frac{4}{7}\text{rounds}$.

Step-1. Write down the given statement.

It is given that two rounds of track take 7 minutes.

Step-2. Evaluate the number of rounds (n) by time-speed-distance formula.

$\text{Speed = }\frac{\text{Distance}}{\text{Time}}$

Speed remains the same. Therefore, the proportion can be written as:

$$\begin{gathered} \frac{2}{7}=\frac{n}{30} \\ n\left(7\right)=2\left(30\right) \\ 7n=60 \\ \frac{7n}{7}=\frac{60}{7} \\ n=8\frac{4}{7}\text{rounds} \end{gathered}$$

Step-3. Conclusion from evaluated number of rounds.

The number of rounds in 30 seconds is $n=8\frac{4}{7}\text{rounds}$.