Questions: Solve using a proportion. Tim takes his pulse for 10 sec and counts 30 beats. How many beats per minute is this? Tim's pulse is beats per minute.

Solution Steps

To find the number of beats per minute, we can set up a proportion. We know that Tim counts 30 beats in 10 seconds. We need to find out how many beats occur in 60 seconds (1 minute). We can set up the proportion as follows:

\[ \frac{30 \text{ beats}}{10 \text{ seconds}} = \frac{x \text{ beats}}{60 \text{ seconds}} \]

Solving for \( x \) will give us the number of beats per minute.

We know that Tim counts 30 beats in 10 seconds. We need to find the number of beats per minute (60 seconds). We set up the proportion as follows:

\[ \frac{30 \text{ beats}}{10 \text{ seconds}} = \frac{x \text{ beats}}{60 \text{ seconds}} \]

To solve for \( x \), we cross-multiply and solve the equation:

\[ 30 \text{ beats} \times 60 \text{ seconds} = 10 \text{ seconds} \times x \text{ beats} \]

\[ 1800 = 10x \]

\[ x = \frac{1800}{10} = 180 \]

Final Answer