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Can u help me find the rate of change for the situation? A chef cooks 9 lbs of chicken for 36 people and 17 lbs of chicken for 68 people?

1 Answer

Jul 31, 2018

The rate of change is 0.25 lbs per person

Explanation:

Weight of chicken per person:

A). $\frac{9 lbs}{36 people} = \frac{9}{36} = 0.25 lbs/person$ $(9"lbs")/(36"people") = 9/36 = 0.25 "lbs/person"$

B). $\frac{17 lbs}{68 people} = \frac{17}{68} = 0.25 lbs/person$ $(17"lbs")/(68"people") = 17/68 = 0.25 "lbs/person"$

Both situations cook the same amount of chicken per person so the amount of chicken (Ch) to cook for $N$ $N$ people is

$C h = 0.25 N$ $Ch = 0.25 N$ lbs
(where Ch and N are variables related by the constant 0.25)

The rate of change is $0.25$ $0.25$ lbs per person

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