Question

The 8th grade students at Great Lakes Middle School hold a bake sale to raise money for a class field trip at the end of the year. They charge the same price for each item that they sell. After selling 10 items, they have $60.00 in their cash box. After selling 25 items, they have $82.50 in their cash box.
What is the price of each item at the bake sale?

Answer 1

The question is an illustration of slopes or rate of change.

The price of each item at the bake sale is $1.50

Let:

• x represents the number of items
• y represents the amount in the cash box

So, we have:

$(x_1,y_1) = (10,60.00)$

$(x_2,y_2) = (25,82.50)$

The slope represents the price of each item, and it is calculated using:

$m = \frac{y_2 - y_1}{x_2 -x_1}$

So, we have:

$m = \frac{82.50 - 60.00}{25 - 10}$

$m = \frac{22.50}{15}$

$m = 1.50$

Hence, the price of each item at the bake sale is $1.50

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