In a college meal plan you pay a membership fee, then all of your meals are at a fixed price per week. If 20 meals cost $150.5 and 60 meals cost $310.5 , answer the following questions:

Question

In a college meal plan you pay a membership fee, then all of your meals are at a fixed price per week. If 20 meals cost $150.5 and 60 meals cost $310.5 , answer the following questions:

a) Write a formula for the cost of a meal plan, C , in terms of the number of meals, n .

C=  

b) What is the membership fee? $ 

c) What is the price per meal? $  per meal

d) Find the cost for 40 meals. $ 

e) Find n in terms of C .   n=  

f) Finally, use your answer in part (e) to determine the maximum number of meals you can buy on a budget of $300. Maximum number of meals implies if you find that n = 3.9, then you can buy a maximum of 3 meals. You must truncate any decimal solutions (which is different from rounding).

n=   meals

Answer 1

150.5 = 20n +F

310.5 = 60n + F

40n = 160

n=$4 per meal

F=$70.50 Fee

C(m)= 4n +70.5

C(40)= 40(4)+ 70.5 $2.30.50

n=(C-70.5)/4

n=(300-70.5)/4 = 230.5/4= 57.625

=max 57 meals on $300