(5 points) 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 $153.5 and60 meals cost $281, answer the following questions:a) Find C(n), a function for the cost of a meal plan in dollars, where n is the number of meals.C(n) =b) What is the membership fee? $c) What is the price per meal? $d) Find the cost for 45 meals. $e) 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).11=mealsper meal