A runner eats a snack with 375 Calories of nutritional energy. After her snack, she burns 3.16 x 10^6 joules while running

The complete question is given below

A runner eats a snack with 375 Calories of nutritional energy. After her snack, she uses  3.16 X 106 joules while running [1 Calorie = 4184 joules).

Which of the following statements are true? Select all that apply.

A. There were 1.57 X 106 joules of energy in the snack.

B. There were 3.14 X 106 joules of energy in the snack.

C. During her run, she used 755 Calories of energy.

D. During her run, she used 189 Calories of energy.

E. The runner used more Calories while running than she consumed during her snack.

F The runner used fewer Calories while running than she consumed during her snack.

Options A, C and E are all correct options

Explanation:

From the question,

1 calorie = 4184 Joules

therefore 375 calories from the consumed snack

              = (4184 x 375) J

              = 1,569,000J

              = 1.56 x 10⁶ J (option A is correct)

While running, she expends 3.16 x 10⁶ J. We can convert this to calories to see how much calories she expended while running

Recall  4184 Joules = 1 calorie

therefore, 3.16 x 10⁶ Joules is equivalent to

                                 = (3.16 x10⁶/ 4184) calories

                                 = 755.6 calories (option C is also correct)

If she consumes 375 calories from her snack but expended 755 calories during her running exercise, therefore the runner consumed fewer calories than what she expended during her exercise, hence option E is also correct  

Options A, C and E are all correct options

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