Answer :
To solve this problem, we need to determine how much the person weighs based on the calories burned while jogging. The problem gives us the following information:
- The person burns 110 calories jogging 1 mile.
To find the person's weight, we need to use the assumption that typically, a person burns a certain number of calories per pound per mile. Let's explore one common assumption:
- On average, a person burns about 0.63 calories per pound for every mile they jog.
Using this factor, we can set up the calculation to find the person's weight. Here's how we do it step by step:
1. Identify the Calories Burned: We know that the person burns 110 calories for jogging 1 mile.
2. Use the Calories Burned Per Pound Per Mile: Based on the assumption, a person burns 0.63 calories per pound per mile.
3. Setup the Equation: The equation to calculate weight (W) is derived from the calories burned formula:
[tex]\[
\text{Calories burned} = \text{Calories per pound per mile} \times \text{Weight}
\][/tex]
Substitute the known values:
[tex]\[
110 = 0.63 \times W
\][/tex]
4. Solve for Weight: Rearrange the equation to solve for W:
[tex]\[
W = \frac{110}{0.63}
\][/tex]
5. Calculate: Perform the division:
[tex]\[
W \approx 174.6031746
\][/tex]
6. Round to the Nearest Pound: Round the result to the nearest whole number, which gives:
[tex]\[
W \approx 175
\][/tex]
So, based on these calculations, the person's weight is approximately 175 pounds. This estimation allows us to select the closest weight from the given choices. The correct factor matches our calculation with the allowable choices, suggesting the person weighs approximately 175 pounds.
- The person burns 110 calories jogging 1 mile.
To find the person's weight, we need to use the assumption that typically, a person burns a certain number of calories per pound per mile. Let's explore one common assumption:
- On average, a person burns about 0.63 calories per pound for every mile they jog.
Using this factor, we can set up the calculation to find the person's weight. Here's how we do it step by step:
1. Identify the Calories Burned: We know that the person burns 110 calories for jogging 1 mile.
2. Use the Calories Burned Per Pound Per Mile: Based on the assumption, a person burns 0.63 calories per pound per mile.
3. Setup the Equation: The equation to calculate weight (W) is derived from the calories burned formula:
[tex]\[
\text{Calories burned} = \text{Calories per pound per mile} \times \text{Weight}
\][/tex]
Substitute the known values:
[tex]\[
110 = 0.63 \times W
\][/tex]
4. Solve for Weight: Rearrange the equation to solve for W:
[tex]\[
W = \frac{110}{0.63}
\][/tex]
5. Calculate: Perform the division:
[tex]\[
W \approx 174.6031746
\][/tex]
6. Round to the Nearest Pound: Round the result to the nearest whole number, which gives:
[tex]\[
W \approx 175
\][/tex]
So, based on these calculations, the person's weight is approximately 175 pounds. This estimation allows us to select the closest weight from the given choices. The correct factor matches our calculation with the allowable choices, suggesting the person weighs approximately 175 pounds.
