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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.

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Answer 1

175= 4.25x + 15

160 = 4.25x

X=37 muffins