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**Solving MCAS Open Response Questions By Lawrence Scandone**

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READ THE QUESTION

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Read it Again

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**What info have I been given?**

1st $200 dollar expence for equipment. 2nd Rodney earns $40 dollars for each horse that he grooms. 3rd Profit is equal to his earnings for each horse groomed minus the initial expense.

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**What is the profit for grooming 15 horses?**

1st Rodney earns $40 dollars for each horse groomed. 2nd He groomed 15 horses. 3rd So I multiply $40 x 15 which is $600. 4th Since profit = I – E { P = $600 - $200 } Profit = $400

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Graph Title Title:________________________________

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Label the X-axis Name:_______________________________

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Label the Y- axis Name:

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**Plot the Profit for 0 to 7 horses**

X = # of horses Groomed (0 to 7) Y =Rodney’s profit Y 200 X 2 4 6 8 -200

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**1st ask yourself what m =__ 2nd ask yourself what b =__**

Write the equation Y = mX + b 1st ask yourself what m =__ 2nd ask yourself what b =__

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M stands for the slope It’s equal to the rise/ run or the rate of change which is $40.

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**B stands for the Y-intercept**

It’s where the graph crosses the y- axis or in this case a one time charge, which is the starting value.

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**Replace m and b You plug 40 in for m and you replace b with (- 200).**

Y = 40X – 200 is the equation

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**What does the X-intercept represent?**

Think about money! What is Rodney’s profit at the X-intercept? How many horses did he groom at the X-intercept Show and explain your answer for this point on the graph. What does it stand for in terms of Rodney’s business?

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