Please help me to resolve that sevent questions.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.
Chart:
Activity Cal/h
Bicycling 6 mi/h 240
Bicycling 12 mi/h 410
Cross-country skiing 700
Jogging 5 1/2 mi/h 740
Jogging 7 mi/h 920
Jumping rope 750
Running in place 650
Running 10 mi/h 1280
Swimming 25 yd/min 275
Swimming 50 yd/min 500
Tennis (single) 400
Walking 2 mi/h 240
Walking 3 mi/h 320
Walking 4 1/2 mi/h 440
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 1/2 mi/h for 31/2 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. Iersoncross-countryskis for35minutes,howmanycalories willbeburned?

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.)

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

To solve the given problems, we need to use the information provided in the table of activities and their corresponding calorie burn rates. We also need to know the formula that a person needs to burn off 3,500 calories more than they take in to lose 1 pound.

For reference, the formula is:
Number of pounds lost = (Calories burned - Calories taken in) / 3,500

Now let's solve each problem step by step:

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?
To calculate the number of calories burned, we can multiply the rate at which they jog (740 cal/h) by the number of hours they jog (3 1/2 h):
Calories burned = 740 cal/h * 3.5 h = 2590 calories

2. If a person runs in place for 15 minutes, how many calories will be burned?
Since we know the rate at which a person burns calories for running in place is 650 cal/h, we can calculate the calories burned for 15 minutes using the formula:
Calories burned = (650 cal/h * 15 min) / 60 min = 162.5 calories

3. If a person cross-country skis for 35 minutes, how many calories will be burned?
From the table, we see that cross-country skiing burns 700 cal/h. To find the calories burned for 35 minutes, we can use the formula:
Calories burned = (700 cal/h * 35 min) / 60 min = 408.33 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.)
To solve this problem, we need to find the burn rate for jumping rope from the table. The burn rate for jumping rope is 750 cal/h. Given that a person needs to burn off 3,500 calories to lose 1 pound, we can set up a proportion:
750 cal/h = 3,500 cal / X h
Solving for X, we get:
X = (3,500 cal * 1 h) / 750 cal = 4.67 hours
Therefore, a person would need to jump rope for approximately 4.67 hours to burn 3,500 calories and lose 1 pound.

5. At what rate would a 120-pound person burn calories while bicycling at 12 mi/h?
Since we know the burn rate for a 150-pound person bicycling at 12 mi/h is 410 cal/h, we can calculate the burn rate for a 120-pound person using a proportion:
410 cal/h = X cal/h
150 lb = 120 lb
Solving for X, we get:
X = (410 cal/h * 120 lb) / 150 lb = 328 cal/h
So, a 120-pound person would burn calories at a rate of 328 cal/h while bicycling at 12 mi/h.

6. At what rate would a 180-pound person burn calories while bicycling at 12 mi/h?
Similarly to problem 5, we can set up a proportion to solve this problem:
410 cal/h = X cal/h
150 lb = 180 lb
Solving for X, we get:
X = (410 cal/h * 180 lb) / 150 lb = 492 cal/h
Thus, a 180-pound person would burn calories at a rate of 492 cal/h 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? (Assume calorie consumption is just enough to maintain weight, with no activity.)
First, we need to determine the calories burned per hour for a 200-pound person jogging at 5 1/2 mi/h. From the table, the burn rate for this activity is 740 cal/h. Since a person needs to burn 3,500 calories to lose 1 pound, we can set up a proportion:
740 cal/h = 3,500 cal / X h
Solving for X, we get:
X = (3,500 cal * 1 h) / 740 cal = 4.73 hours
Therefore, a 200-pound person would need to jog for approximately 4.73 hours to burn enough calories to lose 5 pounds.