help me please

Many people are interested in losing weight through
exercise. An important fact to consider is that a person
needs to burn off 3,500 calories more than he or she takes
in to lose 1 pound, according to the American Dietetic
Association.
The following table shows the number of calories burned per hour (cal/h) for a variety of activities, where the figures are based on a 150-pound person.
Work with your group members to solve the following problems. You may find that setting up proportions is helpful.

For problems 1 through 4, assume a 150-pound person.

1. If a person jogs at a rate of 5 mi/h for 3 h in a week, how many calories do they burn? = Jogging 5 mi/h 740
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 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.)

Activity Cal/h Activity Cal/h
Bicycling 6 mi/h 240 Running 10 mi/h 1,280
Bicycling 12 mi/h 410 Swimming 25 yd/min 275
Cross-country skiing 700 Swimming 50 yd/min 500
Jogging 5 mi/h 740 Tennis (singles) 400
Jogging 7 mi/h 920 Walking 2 mi/h 240
Jumping rope 750 Walking 3 mi/h 320
Running in place 650 Walking 4 mi/h 440

1. If a person jogs at a rate of 5 mi/h for 3 h in a week, how many calories do they burn? = Jogging 5 mi/h 740

Multiply 3 * 740.

2. If a person runs in place for 15 minutes, how many calories will be burned?
Since a person uses 650 calories per hour by running in place, she must use only 0.25 (1/4) of those calories in 15 minutes (1/4 of an hour).

3. If a person cross-country skis for35minutes, how many calories will be burned?
Set up a proportion:
700 / 1 = x / (35/60)


5. At what rate would a 120-pound person burn calories while bicycling at 12 mi/h?
Set up a proportion:
120/150 = x/410

Please try the rest of the problems on your own. We'll be glad to check your answers.

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

5.5 mi/h gives a calorie burn rate of 740 calories/hour.
If you jogged for 3.5 hours, you burned 740 * 3.5 = 2,590 calories/week.

2) If a person runs in place for 15 minutes, how many calories will be burned?
650 * (15/60) = 162.5 calories.

3) If a person cross-country skis for 35 minutes, how many calories will be burned?
700 * (35/60) = 408.3 calories

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.)
3500 / 750 = 4.666... = 4 hours and 40 minutes.

5) At what rate would a 120-pound person burn calories while bicycling at 12 mi/h?
410 * (120/150) = 328 calories/hour

6) At what rate would a 180-pound person burn calories while bicycling at 12 mi/h?
410 * (180/150) = 492 calories/hour

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.)
(3500 * 5) / ( (200/150) * 740) = 17.7364.. = 17 hours and about 44 minutes.

To solve these problems, you can use the information given in the table to calculate the number of calories burned for each activity. Here's how you can solve each problem:

1. To find the number of calories burned while jogging at a rate of 5 mi/h for 3 hours, you can use the information from the table. Look for the activity "Jogging 5 mi/h" and find the corresponding value, which is 740 calories burned per hour. Multiply this value by 3 (the number of hours) to get the total number of calories burned: 740 calories/hour * 3 hours = 2220 calories.

2. To find the number of calories burned while running in place for 15 minutes, you first need to convert the time to hours. There are 60 minutes in an hour, so 15 minutes is equivalent to 15/60 = 0.25 hours. Look for the activity "Running in place" in the table and find the corresponding value, which is 650 calories burned per hour. Multiply this value by 0.25 to get the total number of calories burned: 650 calories/hour * 0.25 hours = 162.5 calories.

3. To find the number of calories burned while cross-country skiing for 35 minutes, you first need to convert the time to hours. Again, there are 60 minutes in an hour, so 35 minutes is equivalent to 35/60 = 0.5833 hours (rounded to four decimal places). Look for the activity "Cross-country skiing" in the table and find the corresponding value, which is 700 calories burned per hour. Multiply this value by 0.5833 to get the total number of calories burned: 700 calories/hour * 0.5833 hours = 408.31 calories.

4. To find the number of hours a person would have to jump rope in order to lose 1 pound, you need to know the number of calories burned per hour of jumping rope. Look for the activity "Jumping rope" in the table and find the corresponding value, which is 750 calories burned per hour. Divide the total number of calories needed to lose 1 pound (3500 calories) by the number of calories burned per hour of jumping rope: 3500 calories / 750 calories/hour = 4.67 hours. Therefore, a person would need to jump rope for approximately 4.67 hours to lose 1 pound.

5. To find the rate at which a 120-pound person would burn calories while bicycling at 12 mi/h, look for the activity "Bicycling 12 mi/h" in the table and find the corresponding value, which is 410 calories burned per hour. This value is based on a 150-pound person, so you need to adjust it for a 120-pound person. Use a proportion to find the adjusted rate: 150 pounds / 120 pounds = 410 calories/hour / x (calories burned by a 120-pound person while bicycling at 12 mi/h). Cross multiply and solve for x: x = (120 pounds * 410 calories/hour) / 150 pounds = 328 calories/hour. Therefore, a 120-pound person would burn approximately 328 calories per hour while bicycling at 12 mi/h.

6. To find the rate at which a 180-pound person would burn calories while bicycling at 12 mi/h, use the same method as the previous problem. Look for the activity "Bicycling 12 mi/h" in the table and find the corresponding value, which is 410 calories burned per hour. Use a proportion to find the adjusted rate: 150 pounds / 180 pounds = 410 calories/hour / x (calories burned by a 180-pound person while bicycling at 12 mi/h). Cross multiply and solve for x: x = (180 pounds * 410 calories/hour) / 150 pounds = 492 calories/hour. Therefore, a 180-pound person would burn approximately 492 calories per hour while bicycling at 12 mi/h.

7. To find the number of hours of jogging at 5 mi/h needed for a 200-pound person to lose 5 pounds, you first need to determine the number of calories burned per hour of jogging for a 200-pound person. Look for the activity "Jogging 5 mi/h" in the table and find the corresponding value, which is 740 calories burned per hour for a 150-pound person. Use a proportion to find the adjusted rate: 150 pounds / 200 pounds = 740 calories/hour / x (calories burned by a 200-pound person while jogging at 5 mi/h). Cross multiply and solve for x: x = (200 pounds * 740 calories/hour) / 150 pounds = 987 calories/hour. To calculate the number of hours needed to burn enough calories to lose 5 pounds, divide the total number of calories needed to lose 5 pounds (5 pounds * 3500 calories/pound) by the number of calories burned per hour: (5 pounds * 3500 calories/pound) / 987 calories/hour = 17.79 hours. Therefore, a 200-pound person would need to jog for approximately 17.79 hours to lose 5 pounds.

Remember, these calculations are based on approximate values and individual results may vary. It's always a good idea to consult with a healthcare professional before starting a weight loss or exercise program.