math
posted by p .
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.
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
Crosscountry 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
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 1/2mi/h for 3 1/2h in a week, how many calories do they
burn?=2590 cal.
2.If a person runs in place for 15 minutes, how many calories will be burned?=162.5 cal.
3.If a person crosscountry skis for 35 minutes,how many calories will be
burned?=431.6 cal
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.)=4 hr and 20 min
5.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.At what rate would a 120pound person burn calories while bicycling at 12 mi/h?=328 cal per hr.
6.At what rate would a 180pound person burn calories while bicycling at 12 mi/h?=492 cal per hr
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.)=17.74 hrs
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