SOLUTION: Assume being overweight is a function of how many calories are consumed weekly. Let x represent the # of calories consumed in one week and y represent number of pounds in one week.

Algebra ->  Rational-functions -> SOLUTION: Assume being overweight is a function of how many calories are consumed weekly. Let x represent the # of calories consumed in one week and y represent number of pounds in one week.      Log On


   

Question 67329: Assume being overweight is a function of how many calories are consumed weekly. Let x represent the # of calories consumed in one week and y represent number of pounds in one week.
Let's say an average person of average weight and height consumes between 14000 and 21000 calories per week. A person who consumes 14000 cal per week maintains their current weight but considering 3500 cal tranlates to 1 pound
(of fat) a person who consumes cal per week will gain 2 pounds per week.
Domain= (14000,21000)
Range= (0,2)
I need to put this into an equation or expression and then graph it. Can you assist me with this.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Make a little chart:
calorie intake......wt.gained
14000.................0
14000+3500............1
14000+2(3500).........2
If intake is 21000 the 1st 14000 gives no gain
But (21000-14000)/3500=7000/3500=2 lbs gained
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EQUATION:
Wt gain (calorie input)= (x-14000)/3500
or
wt gain(x)= (x-14000)/3500
or
gain(x)=(1/3500)x-4 where x is the calorie input
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graph%28600%2C400%2C0%2C21000%2C-1%2C2%2C%281%2F3500%29x-4%29
Hope this helps.
Cheers,
Stan H.