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If expending 3500 kcal is equal to a loss of 1.0 lb, how many days will it take Charles to lose 5.0 lb? Express your answer to two significant figures. Charles consumes 1800 kcal per day.

Sagot :

Answer:31 days

Explanation:

3500kcal/lb x 5lb =17500

1800-1230=570

17500/570=30.70

Round up =31

This question involves the concepts of energy, weight, and time.

It will take Charles "9.7 days" to lose 5.0 lb.

TIME TO LOSE WEIGHT

Since the loss of 1.0 lb weight requires expending 3500 kcal energy. Therefore, by using the unitary method,

1.0 lb loss = 3500 kcal

(5)(1.0) lb loss = (5)(3500 kcal)

5.0 lb loss = 17500 kcal ----- eqn(1)

Now, the time required to consume 1800 kcal is 1 day. Hence, by the unitary method,

1800 kcal = 1 day

1 kcal = [tex]\frac{1}{1800}\ day[/tex]

17500 kcal = [tex]\frac{17500}{1800}[/tex] day

17500 kcal = 9.7 days ------ eqn(2)

Comparing eqn (1) and eqn (2)

5.0 lb loss = 9.7 days

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