Question

In a dorm meal plan you pay a membership fee; then all your meals are at a fixed price per meal.

Answer 1

9514 1404 393

Answer:

• c = 5.25n +600
• meal cost: $5.25; membership fee: $600
• $1335

Step-by-step explanation:

a. Using the variables defined for you, there are two points given:

  (n, c) = (100, 1125) and (160, 1440)

You can use the 2-point form of the equation for a line to find the desired linear function:

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1 . . . . when given points (x1, y1), (x2, y2)

  c = (1440 -1125)/(160 -100)(n -100) +1125 . . . fill in given values

  c = 315/60(n -100) +1125

  c = 5.25n +600

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b. The cost of each meal is the amount by which the total cost goes up when the number of meals goes up by 1. That is the coefficient of n, 5.25. The membership fee is the cost of 0 meals, 600.

The cost of each meal is $5.25; the membership fee is $600.

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c. For n = 140, the cost is ...

  c = 5.25(140) +600 = 735 +600 = 1335

The cost of 140 meals is $1335.