Question

lúcia is using energy at a rate of 420 kilocalories (kcal) per hour (h) ice skating. at what rate is lúcia using energy in calories per minute \\(\left(\frac{\text{cal}}{\text{min}}\
ight)\\)? \\(\square \frac{\text{cal}}{\text{min}}\\) show calculator

Explanation:

Step1: Convert kcal to cal

We know that \( 1 \text{ kcal} = 1000 \text{ cal} \), so to convert 420 kcal to cal, we multiply by 1000.
\( 420 \text{ kcal} \times 1000 = 420000 \text{ cal} \)

Step2: Convert hours to minutes

We know that \( 1 \text{ hour} = 60 \text{ minutes} \)

Step3: Calculate the rate in cal per min

The rate in cal per hour is 420000 cal/hour. To find the rate in cal per minute, we divide by 60 (since there are 60 minutes in an hour).
\( \frac{420000 \text{ cal}}{60 \text{ min}} = 7000 \text{ cal/min} \)

Answer:

\( 7000 \)