Answer :
To solve the problem of determining which individual experiences the highest calorie cost, we can follow a series of steps for each person. We will calculate the number of calories burned based on their weight, the type of activity they're doing, the rate at which calories are burned per minute for their weight, and the duration of the activity.
Let's break it down for each individual:
1. Sara:
- Weight: 145 lbs.
- Activity: Step aerobics
- Caloric burn rate: 0.062 calories per pound per minute
- Duration: 35 minutes
Calculation:
[tex]\[
\text{Calories burned} = 145 \times 0.062 \times 35 = 314.65 \text{ calories}
\][/tex]
2. Ben:
- Weight: 180 lbs.
- Activity: Walking on the treadmill
- Caloric burn rate: 0.048 calories per pound per minute
- Duration: 25 minutes
Calculation:
[tex]\[
\text{Calories burned} = 180 \times 0.048 \times 25 = 216 \text{ calories}
\][/tex]
3. Mary:
- Weight: 120 lbs.
- Activity: Biking
- Caloric burn rate: 0.076 calories per pound per minute
- Duration: 20 minutes
Calculation:
[tex]\[
\text{Calories burned} = 120 \times 0.076 \times 20 = 182.4 \text{ calories}
\][/tex]
4. Andrew:
- Weight: 163 lbs.
- Activity: Swimming
- Caloric burn rate: 0.058 calories per pound per minute
- Duration: 30 minutes
Calculation:
[tex]\[
\text{Calories burned} = 163 \times 0.058 \times 30 = 283.62 \text{ calories}
\][/tex]
5. Kia:
- Weight: 185 lbs.
- Activity: Running on the treadmill
- Caloric burn rate: 0.061 calories per pound per minute
- Duration: 25 minutes
Calculation:
[tex]\[
\text{Calories burned} = 185 \times 0.061 \times 25 = 282.125 \text{ calories}
\][/tex]
Now, let's compare the total calories burned by each individual:
- Sara: 314.65 calories
- Ben: 216 calories
- Mary: 182.4 calories
- Andrew: 283.62 calories
- Kia: 282.125 calories
After reviewing these calculations, we see that Sara experiences the highest calorie cost, burning a total of 314.65 calories.
Let's break it down for each individual:
1. Sara:
- Weight: 145 lbs.
- Activity: Step aerobics
- Caloric burn rate: 0.062 calories per pound per minute
- Duration: 35 minutes
Calculation:
[tex]\[
\text{Calories burned} = 145 \times 0.062 \times 35 = 314.65 \text{ calories}
\][/tex]
2. Ben:
- Weight: 180 lbs.
- Activity: Walking on the treadmill
- Caloric burn rate: 0.048 calories per pound per minute
- Duration: 25 minutes
Calculation:
[tex]\[
\text{Calories burned} = 180 \times 0.048 \times 25 = 216 \text{ calories}
\][/tex]
3. Mary:
- Weight: 120 lbs.
- Activity: Biking
- Caloric burn rate: 0.076 calories per pound per minute
- Duration: 20 minutes
Calculation:
[tex]\[
\text{Calories burned} = 120 \times 0.076 \times 20 = 182.4 \text{ calories}
\][/tex]
4. Andrew:
- Weight: 163 lbs.
- Activity: Swimming
- Caloric burn rate: 0.058 calories per pound per minute
- Duration: 30 minutes
Calculation:
[tex]\[
\text{Calories burned} = 163 \times 0.058 \times 30 = 283.62 \text{ calories}
\][/tex]
5. Kia:
- Weight: 185 lbs.
- Activity: Running on the treadmill
- Caloric burn rate: 0.061 calories per pound per minute
- Duration: 25 minutes
Calculation:
[tex]\[
\text{Calories burned} = 185 \times 0.061 \times 25 = 282.125 \text{ calories}
\][/tex]
Now, let's compare the total calories burned by each individual:
- Sara: 314.65 calories
- Ben: 216 calories
- Mary: 182.4 calories
- Andrew: 283.62 calories
- Kia: 282.125 calories
After reviewing these calculations, we see that Sara experiences the highest calorie cost, burning a total of 314.65 calories.