Answer:
C. 1/4 lb of chicken per person
Step-by-step explanation:
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.
A. 9/17lb per person
B. 4 lb per person
C. 1/4 lb per person
D. 36 people
Solution
9 lbs of chicken for 36 people
Chicken per person = Total lbs of chicken / Total number of people
= 9 lbs / 36 people
Chicken per person = 1/4 lb of chicken per person
17 lbs of chicken for 68 people
Chicken per person = Total lbs of chicken / Total number of people
= 17 lbs / 68 people
= 1/4 lb of chicken
Chicken per person = 1/4 lb of chicken per person
Therefore, the rate of change of the situation = 1/4 lb of chicken per person
Given:
The table represents a proportional relationship.
To find:
The equation of the function.
Solution:
If y is directly proportional to x, then
...(i)
where, k is the constant of proportionality.
From the given table it is clear that the function passes through (2,1). So, the equation must be satisfied by the point (2,1).
Putting x=2 and y=1 in (i), we get
Putting 
, we get
Therefore, the correct option is A.
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