I need help ASP need answers

Question

Betty’s Bakery sells muffins for $4.25 each. Betty’s Bakery will deliver the muffins for a delivery fee of $15, if the delivery is within a 10 mile range. Jo Ellen is having a surprise party for her mother and wants to serve muffins at the party. She lives 6 miles from Betty’s Bakery and will need the muffins to be delivered. Jo Ellen can spend no more than $175 on muffins from Betty’s Bakery.

Part A 

If C represents the cost of the muffins plus delivery fee and m represents the number of muffins, determine an inequality in two variables to represent the problem situation.

Part B 

Create a graph to represent the problem situation. Make sure to label your x and y axis.

Part C 

Describe the number of muffins Jo Ellen could order, if she can spend no more than $175 on muffins from Betty’s Bakery. Justify your reasoning.

Answer 1

Hello, Jalixa.

Okay, so the cost of the muffins is C...this includes a delivery fee of $15

The number of muffins she can buy is m.

So the cost of the muffins is 15 + 4.25m since each muffins costs 4.25

Altogether, the cost must be no greater than $175.

Let's set our equation.

15 + 4.25m = 175

4.25m = 175 - 15

4.25m = 160

m = 37.64

Since she can't purchase 64/100 of a muffin, the largest number of muffins she can purchase is 37, without going over $175.

So, 15 + 4.25(37) = $172.25

Therefore, she can buy 37 muffins with her budget.

You should then graph this data on your graph comparing Cost and number of Muffins.