Question

The caloric content of 0.50 cup of cottage cheese is 1.10 x 10^2 kcal. This is the amount of energy released when 0.50 cup of cottage cheese is burned or metabolized by the body. The average slow walker requires 226 kcal of energy to walk one mile. How many cups of cottage cheese would provide enough energy for this walker to walk from Gannon’s Zurn Science Center to the Millcreek Mall (19.3 km)?

a) 8.56 cups
b) 9.80 cups
c) 10.75 cups
d) 11.95 cups

Answer 1

To walk from Gannon’s Zurn Science Center to the Millcreek Mall, the walker would need 2736.41 kcal of energy. Therefore, approximately 25 cups of cottage cheese would provide enough energy for this distance.

Step-by-step explanation:

To calculate the number of cups of cottage cheese needed for the walker to cover 19.3 km, we need to first find out how many calories are needed for this distance. The walker requires 226 kcal of energy to walk one mile, which is equal to 1.609 km. So, for 19.3 km, the total energy needed is:

Total Energy = 19.3 km / 1.609 km/mile * 226 kcal/mile

Now, we can calculate the number of cups of cottage cheese needed by dividing the total energy by the caloric content of 0.50 cup of cottage cheese:

Number of Cups = Total Energy / (1.10 x 10^2 kcal/0.50 cup)

Calculating these values gives us:

Total Energy = 19.3 km / 1.609 km/mile * 226 kcal/mile = 2736.41 kcal

Number of Cups = 2736.41 kcal / (1.10 x 10^2 kcal/0.50 cup) ≈ 24.88 cups

Since we are looking for the number of cups, we can round up to the nearest whole number, which is 25 cups. Therefore, the answer is 25 cups.