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A collage bookstore charged ₱18 for each special donut plus a fixed charged of ₱5 for the box which can hold as much as 24 donuts.

a. Find an expression that relates the amount charged D as a function of the number of donut n._________________________________
b. How much is the price of box with a dozen -and-a half do nuts?​

1 Answer

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Final answer:

The amount charged for the donuts as a function of the number of donuts is ₵D = 18n + 5. For a dozen-and-a-half donuts, which equates to 18 donuts, the total cost is ₵329.

Step-by-step explanation:

Finding the Cost of Special Donuts in a Box

To find an expression that relates the amount charged (₵D) as a function of the number of donuts (n), we can use the formula given by the college bookstore. The cost of each donut is ₵ 18, and there is a fixed cost of ₵ 5 for the box, regardless of the number of donuts it contains. Therefore, the expression for the total cost is given by ₵D = 18n + 5, where n is the number of donuts.

To determine the price of a box with a dozen-and-a-half donuts (which is 18 donuts), we simply substitute n = 18 into the expression: ₵D = 18×18 + 5 = ₵329.

Therefore, the price for a box with 18 donuts is ₵329.

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