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Solving MCAS Open Response Questions By Lawrence Scandone. READ THE QUESTION. Read it Again. What info have I been given?. 1 st $200 dollar expence for equipment. 2 nd Rodney earns $40 dollars for each horse that he grooms.
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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.
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
Graph Title Title:________________________________
Label the X-axis Name:_______________________________
Label the Y- axis Name:
Plot the Profit for 0 to 7 horses X = # of horses Groomed (0 to 7) Y =Rodney’s profit Y 200 0 X 2 4 6 8 -200
Write the equation • Y = mX + b • 1st ask yourself what m =__ • 2nd ask yourself what b =__
M stands for the slope • It’s equal to the rise/ run or the rate of change which is $40.
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.
Replace m and b • You plug 40 in for m and you replace b with (- 200). • Y = 40X – 200 is the equation
What does the X-interceptrepresent? • 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?