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 $271 , 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