Math Snap

STEP 1

Assumptions1. Lúcia is using energy at a rate of420 kilocalories (kcal) per hour (h) ice skating.
. We need to convert this rate to calories per minute.
3.1 kilocalorie (kcal) is equivalent to1000 calories (cal).
4.1 hour is equivalent to60 minutes.

STEP 2

First, we need to convert the energy usage from kilocalories to calories. We can do this by multiplying the energy usage in kilocalories by1000.
$$Energy\, usage\, in\, calories = Energy\, usage\, in\, kilocalories \\times1000$$

STEP 3

Now, plug in the given value for the energy usage in kilocalories to calculate the energy usage in calories.
$$Energy\, usage\, in\, calories =420\, kcal \\times1000$$

STEP 4

Calculate the energy usage in calories.
$$Energy\, usage\, in\, calories =420,000\, cal$$

STEP 5

Next, we need to convert the time from hours to minutes. We can do this by multiplying the time in hours by60.
$$Time\, in\, minutes = Time\, in\, hours \\times60$$

STEP 6

Now, plug in the given value for the time in hours to calculate the time in minutes.
$$Time\, in\, minutes =1\, h \\times60$$

STEP 7

Calculate the time in minutes.
$$Time\, in\, minutes =60\, min$$

STEP 8

Now that we have the energy usage in calories and the time in minutes, we can find the rate of energy usage in calories per minute. This can be done by dividing the energy usage in calories by the time in minutes.
$$Rate\, of\, energy\, usage = \frac{Energy\, usage\, in\, calories}{Time\, in\, minutes}$$

STEP 9

Plug in the values for the energy usage in calories and the time in minutes to calculate the rate of energy usage.
$$Rate\, of\, energy\, usage = \frac{420,000\, cal}{60\, min}$$

Calculate the rate of energy usage in calories per minute.
$$Rate\, of\, energy\, usage = \frac{420,000\, cal}{60\, min} =7,000\, \frac{cal}{min}$$úcia is using energy at a rate of7,000 calories per minute.