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.