Question

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?

Answer 1

The rate of change is 0.25 lbs per person

Explanation:

Weight of chicken per person:

A). `(9"lbs")/(36"people") = 9/36 = 0.25 "lbs/person"`

B). `(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` people is

`Ch = 0.25 N` lbs
(where Ch and N are variables related by the constant 0.25)

The rate of change is `0.25` lbs per person