1.If a person jogs at a rate of 5 1/2mi/h for 3 1/2 h in a week, how many calories do they burn?

2. If a person runs in place for 15 minutes, how many calories will be burned?

3. If a person cross-country skis for35minutes, how many calories will be burned?
4. How many hours would a person have to jump rope in order to lose 1 pound? (Assume calorie consumption is just enough to maintain weight, with no activity.) Heavier people burn more calories (for the same activity), and lighter people burn fewer. In fact, you can calculate similar figures for burning calories by setting up the appropriate proportion.

5. At what rate would a 120-pound person burn calories while bicycling at 12 mi/h?

6. At what rate would a 180-pound person burn calories while bicycling at 12 mi/h?

7. How many hours of jogging at 5 1/2 mi/h would be needed for a 200-pound person to lose 5 pounds? (Again, assume calorie consumption is just enough to maintain weight, with no activity.)

1. To calculate the number of calories burned by jogging, we need to know the energy expenditure rate. The energy expenditure rate for jogging is approximately 11.5 calories per minute per pound of body weight.

First, let's convert the jogging rate to miles per minute. We want to find the rate in miles per minute, so we divide 5 1/2 miles per hour by 60 minutes to convert it to miles per minute.

5 1/2 miles per hour = (5.5 miles) / (60 minutes)

Next, we multiply the rate in miles per minute by the time spent jogging.

Rate in miles per minute * time spent jogging

Finally, we multiply the result by the body weight to calculate the total calories burned.

Total calories burned = (Rate in miles per minute * time spent jogging) * body weight

To calculate the actual number of calories burned in this scenario, plug in the values:

Total calories burned = [(5.5 miles / 60 minutes) * 3.5 hours] * body weight

2. To calculate the number of calories burned from running in place, we need to know the energy expenditure rate. The energy expenditure rate for running in place is approximately 10.2 calories per minute per pound of body weight.

First, convert the time spent running in place to minutes if it's given in minutes.

Next, multiply the rate in calories burned per minute by the time spent running in place.

Total calories burned = (Rate in calories burned per minute * time spent running in place) * body weight

3. To calculate the number of calories burned from cross-country skiing, we need to know the energy expenditure rate. The energy expenditure rate for cross-country skiing is approximately 11.5 calories per minute per pound of body weight.

Multiply the rate in calories burned per minute by the time spent cross-country skiing.

Total calories burned = (Rate in calories burned per minute * time spent cross-country skiing) * body weight

4. To calculate the number of hours of jumping rope required to lose 1 pound, we need to consider the number of calories burned and the total calories needed to burn to lose 1 pound.

To lose 1 pound, you need to achieve a calorie deficit of 3,500 calories. This means you need to burn 3,500 more calories than you consume.

Multiply the calorie expenditure rate for jumping rope by the time spent jumping rope to find the number of calories burned.

Next, divide the number of calories needed to lose 1 pound (3,500) by the calories burned per hour to find the number of hours of jumping rope.

Total hours of jumping rope = calories needed to lose 1 pound / rate in calories burned per hour

5. To calculate the rate at which a 120-pound person burns calories while bicycling at 12 mi/h, we need to know the energy expenditure rate. The energy expenditure rate for bicycling is approximately 8.5 calories per minute per pound of body weight.

Multiply the rate in calories burned per minute by the weight and speed.

Rate in calories burned per minute * weight * speed

6. To calculate the rate at which a 180-pound person burns calories while bicycling at 12 mi/h, we follow a similar process as in the previous question. Multiply the rate in calories burned per minute by the weight and speed.

Rate in calories burned per minute * weight * speed

7. To calculate the number of hours of jogging at 5 1/2 mi/h needed for a 200-pound person to lose 5 pounds, we consider the number of calories burned, the total calories needed to lose 5 pounds, and the calorie expenditure rate for jogging.

To lose 1 pound, you need to achieve a calorie deficit of 3,500 calories. Multiply the rate in calories burned per hour by the weight and hours spent jogging to find the number of calories burned.

Next, calculate the total calories needed to lose 5 pounds (5 pounds * 3,500 calories per pound).

Divide the total calories needed to lose 5 pounds by the calories burned per hour to find the number of hours of jogging.

Total hours of jogging = calories needed to lose 5 pounds / rate in calories burned per hour