In a college meal plan you pay a membership fee, then all of your meals are at a fixed price per week. If 30 meals cost $151 and 50 meals cost $216 , answer the following questions:

Question

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

b) What is the membership fee? $ 

c) What is the price per meal? $

d) Find the cost for 40 meals. $ 

e) Find n in terms of C .

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).

Answer 1

F + 30M = 151

F +50M = 216

subtract 1st equation from the 2nd

20M = 65

M = 65/20 = $3.25 per meal

F = 151 -30(3.25) = $54.50 fee

40 meals cost 54.5 + 40(3.25) = $184.50