As a member of a health and fitness club, your club promisesto develop a special

Question

As a member of a health and fitness club, your club promisesto develop a special diet and
exercise program for you. Other members of the club have reportedsuccessful weight
loss when following the program. One member reported that it took10 weeks to reach his
desired weight of 180 lbs. and another member said it took 6 weeksto reach his desired
weight of 188 lbs.
a) Assuming that both members had the same initial weight, write anequation to describe
the expected weight if you follow this regimen.
b) If the rate of weight loss remains constant, what would theexpected weight be after
12 weeks on this program?
As a member of a health and fitness club, your club promisesto develop a special diet and
exercise program for you. Other members of the club have reportedsuccessful weight
loss when following the program. One member reported that it took10 weeks to reach his
desired weight of 180 lbs. and another member said it took 6 weeksto reach his desired
weight of 188 lbs.
a) Assuming that both members had the same initial weight, write anequation to describe
the expected weight if you follow this regimen.
b) If the rate of weight loss remains constant, what would theexpected weight be after
12 weeks on this program?

Explanation / Answer

i = initial weight w = weight loss per weeks 180= i-10w 188=i-6w Then solve 188=i-6w 180= i-10w 8=4w 2=w 180= i-10w 180= i-10*2 180= i-20 200=i so the equations to find your weight after the programis weight after = weight before - 2*(time in weeks)
b) If the rate of weight loss remains constant, what would theexpected weight be after
12 weeks on this program?
weight after = weight before - 2*(time in weeks) weight after = weight before - 2*(12) weight after = weight before - 24
so you would lose 24 pounds after 12 weeks 180= i-10w 8=4w 2=w 180= i-10w 180= i-10*2 180= i-20 200=i so the equations to find your weight after the programis weight after = weight before - 2*(time in weeks)
b) If the rate of weight loss remains constant, what would theexpected weight be after
12 weeks on this program?
weight after = weight before - 2*(time in weeks) weight after = weight before - 2*(12) weight after = weight before - 24
so you would lose 24 pounds after 12 weeks

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