Question

Please help!!

Sandra is looking to buy decorative doughnuts for a party. She is considering two local bakers. She looks up two bakers online to find how much each one charges. Here are the advertisements she saw online. Ms. Spellings Donut Shop Try out this week's special! All decorative donuts are on sale for $1.62 each with
an $8 boxing fee! Phil'd Up Doughnuts Boxing fee included in price! Number of Decorative Doughnuts and price 2 $9 4 $13 6 $17 8 $21 $25 12 $29 a) What is the rate of change and the boxing fee for each doughnut shop? b) If the total cost was Sandra's biggest concern, who should she buy from? Justify you answer mathematically.

Answer 1

Explanation:

Dont cheat on your homework

Answer 2

a) The rate of change for Ms. Spellings Donut Shop is $1.62 per doughnut. The boxing fee is $8.
For Phil'd Up Doughnuts, the rate of change is $1.25 per doughnut (calculated as $29/12). The boxing fee is included in the price, so there is no separate fee.

b) If the total cost is Sandra's biggest concern, she should buy from Phil'd Up Doughnuts. This is because the rate of change for Phil'd Up Doughnuts is lower than the rate of change for Ms. Spellings Donut Shop. As the number of doughnuts increases, the cost per doughnut at Phil'd Up Doughnuts will stay the same, whereas the cost per doughnut at Ms. Spellings Donut Shop will increase due to the fixed boxing fee.

We can verify this by calculating the total cost for each shop for a given number of doughnuts. For example, if Sandra wants to buy 6 decorative doughnuts, the total cost at Ms. Spellings Donut Shop would be $1.62 * 6 + $8 = $12.72. The total cost at Phil'd Up Doughnuts would be $17.