High School

Select the correct factor from the presentation and calculate how many pounds the person weighs if 106 calories are burned off. (Round to the nearest pound.)

A person jogs 1 mile in 8 minutes.

Options:
A. 66
B. 69
C. 163
D. 171

Answer :

Given that the calories burned while jogging are modeled by the formula

[tex]$$
\text{Calories burned} = \text{Factor} \times \text{Weight} \times \text{Distance},
$$[/tex]

we can substitute the known values. Here, the jogger burns 106 calories while jogging 1 mile, and the factor for jogging is given as [tex]$0.65$[/tex]. Thus, we have

[tex]$$
106 = 0.65 \times \text{Weight} \times 1.
$$[/tex]

To solve for the weight, rearrange the equation:

[tex]$$
\text{Weight} = \frac{106}{0.65}.
$$[/tex]

Calculating this gives

[tex]$$
\text{Weight} \approx 163.08.
$$[/tex]

Rounding to the nearest pound, the person's weight is approximately [tex]$163$[/tex] pounds.