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(Paragraph B) To undercut the competition, your team recommends setting the pric

ID: 3043017 • Letter: #

Question

(Paragraph B)

To undercut the competition, your team recommends setting the price per dozen assorted donuts so that Homer’s gets $255 total (gross) income for 30 dozen assorted donuts sold per day, and $935 total (gross) income for 110 dozen assorted donuts sold per day. The relationship between dozen donuts sold per day and total (gross) income per day is linear.

Task 3: Determine Revenue Equation   

Use the information in paragraph B above to:

Create at least two ordered pairs. Let the x value be the number of dozen donuts produced per day and the y value be the total income (revenue) from selling them.

Use two of the ordered pairs to determine the slope m of the linear equation that describes daily revenue R(x) where x represents number of dozens of donuts produced per day. Interpret the meaning of the slope.

Determine the y – intercept value (also known as b)

Use what you’ve found to create the linear equation in y = mx + b (slope-intercept form) that describes daily revenue for Homer’s Donuts

Take the equation you created and replace “y” with “R(x)” to create the revenue equation.

Explanation / Answer

THe points are (30,255) and (110,935)

Slope = (935-255)/(110-30)= 8.5

Equation is Y = 8.5x+0

Or R(x) = 8.5x where x is number of dozen donuts produced per day