Question

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The equation below represents the amount of money left in Brianna’s pocket after buying donuts for her friends:
y = – 1.25x + 25
a)Explain what each value in the equation represents.
b)What is the greatest number of donuts Brianna can buy

Answers

  1. Answer:
    Part (a)
    Given equation:
    y = - 1.25x + 25
    • x = number of donuts Brianna buys
    • y = total amount of money in Brianna’s pocket (in dollars)
    • -1.25 = For every donut Brianna buys, the money in her pocket decreases by $1.25 ⇒ each donut costs $.125
    • 25 = Total amount of money Brianna has before she buys any donuts (in dollars) ⇒ $25.00
    Part (b)
    The greatest number of donuts Brianna can buy is when the money she has is reduced to zero dollars.  Therefore, substitute y = 0 into the equation and solve for x:
    \implies 0=-1.25x+25
    \implies 1.25x=25
    \implies x=\dfrac{25}{1.25}
    \implies x=20
    Therefore, the greatest number of donuts Brianna can buy is 20 donuts.

    Reply
    • y=-1.25x+25
    Here rate of change is -1.25 (-ve) hence
    • x represents no of donuts
    • y represents price left
    #b
    The greatest no of donuts
    • -1.25x+25=0
    • -1.25x=-25
    • x=20donuts

    Reply

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