# Question: in a college meal plan you pay a membership fee...

###### Question details

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 $151 and 50 meals cost $256 , 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 35 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