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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?


Sagot :

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:

[tex](x_1,y_1) = (10,60.00)[/tex]

[tex](x_2,y_2) = (25,82.50)[/tex]

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

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{82.50 - 60.00}{25 - 10}[/tex]

[tex]m = \frac{22.50}{15}[/tex]

[tex]m = 1.50[/tex]

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

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