High School

During one week, Charles swam for a total of 2.0 hours and walked for a total of 9.0 hours. If Charles expends 340 kcal/h swimming and 160 kcal/h walking, how many total kilocalories did he expend for one week? Express the energy in kilocalories to two significant figures.

Answer :

Final answer:

Charles expended a total of 2120 kilocalories in one week by swimming for 2.0 hours (680 kcal) and walking for 9.0 hours (1440 kcal).

Explanation:

To determine the total amount of kilocalories that Charles expended in a week, we need to multiply the time he spent on each activity by the rate at which he expends energy doing that activity, and then add these two quantities together.

For swimming:
Charles swam for 2.0 hours and expended 340kcal/h. So, the total amount of energy he expended swimming is:
2.0 h * 340kcal/h = 680 kcal

For walking:
Charles walked for 9.0 hours and expended 160kcal/h. So, the total amount of energy he expended walking is:
9.0 h * 160kcal/h = 1440kcal

To obtain the total kilocalories expended by Charles, we add the energy amounts expended from both activities:
680 kcal + 1440 kcal = 2120 kcal

So, Charles expended a total of 2120 kilocalories in a week.

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