math
posted by carmen on .
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 150pound person.
Chart:
Activity Cal/h
Bicycling 6 mi/h 240
Bicycling 12 mi/h 410
Crosscountry 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 150pound 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. Ifapersoncrosscountryskis 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 120pound person burn calories while bicycling at 12 mi/h?
6. At what rate would a 180pound 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 200pound 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 200lb person to lose 5 pounds? (Assume calorie consumption is just enough to maintain weight, with no activity)