In a college meal plan you pay a membership fee, then all of your meals are at a
ID: 2661223 • Letter: I
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 $154 and 50 meals cost $244 , 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 a meal plan with 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
Explanation / Answer
20 meals cost $154 and 50 meals cost $244
So in order to find out the cost per meal we shall use the following calculation:
Change in cost/Change in meal
=244-154/50-20
=$ 3 per meal
Therefore membership fees=154-20*3
=$94
1)Meal plan C=3n+94
2) membership fee=$94
3) cost per meal=$3 per meal
4) plan for 35 meal=35*3+94
=$199
5)n=(C-94)/3
6)n=(300-94)/3
=68.66
=68 meals