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ASU Offers several meal plans to students living on campus I hese meal plans arc

ID: 3004948 • Letter: A

Question

ASU Offers several meal plans to students living on campus I hese meal plans arc made up of a number ot meals plus MAG dollars (which arc equivalent to regular dollars) to spend middot >> I he Maroon deal otTcrs 180 meals per semester plus $375 in M&G; dollars for a total cost of $1962.i. Define a variable to represent the cost per meal and write an equation representing this situation.ii Solve your equation to determine the cost per meal of this plan.b. They also offer an Unlimited plan which gives you an unlimited number of meals plus $250 in M&G; dollars.i. Assuming the price per meal were the same as the answer you determined in part (a), define a variable to represent the number of meals eaten and write an expression that represents the total price (ASU would charge) of the meal plan if they did charge per meal.ii. The cost of this meal plan is $2460. How many meals do you need to cat so that this is a better deal than the Maroon plan? (That is, the price ASU would charge for the meals and money is greater than or equal to what you're actually charged).

Explanation / Answer

Let $x be the cost per meal.

Total cost = Cost per meal * number of meals + M&G dollars

1962.50 = 180x + 375

1587.50 = 180 x

x=$8.82

b)

Let n be the number of meals

Let C be the total cost

C=8.82 n + 250

8.82 n + 250 = 2460

8.82 n = 2210

n=251.