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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 
((cal)/(min)) ?

(" cal ")/(min)

Lúcia is using energy at a rate of 420420 kilocalories ( kcal \mathrm{kcal} ) per hour (h) ice skating.\newlineAt what rate is Lúcia using energy in calories per minute (calmin) \left(\frac{\mathrm{cal}}{\mathrm{min}}\right) ? \newline\square cal min \frac{\text { cal }}{\min }

Full solution

Q. Lúcia is using energy at a rate of 420420 kilocalories ( kcal \mathrm{kcal} ) per hour (h) ice skating.\newlineAt what rate is Lúcia using energy in calories per minute (calmin) \left(\frac{\mathrm{cal}}{\mathrm{min}}\right) ? \newline\square cal min \frac{\text { cal }}{\min }
  1. Convert Units: To convert the energy usage rate from kilocalories per hour to calories per minute, we need to know the conversion factors between kilocalories and calories, and between hours and minutes. We know that 11 kilocalorie equals 1,0001,000 calories, and 11 hour equals 6060 minutes.
  2. Convert to Calories: First, we convert Lúcia's energy usage rate from kilocalories per hour to calories per hour by multiplying by 1,0001,000 (since there are 1,0001,000 calories in a kilocalorie).\newline420420 kcal/h * 1,0001,000 cal/kcal = 420,000420,000 cal/h
  3. Convert to Minutes: Next, we convert the energy usage rate from calories per hour to calories per minute by dividing by 6060 (since there are 6060 minutes in an hour).420,000cal/h÷60min/h=7,000cal/min420,000 \, \text{cal/h} \div 60 \, \text{min/h} = 7,000 \, \text{cal/min}

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