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:
• = number of donuts Brianna buys
• = total amount of money in Brianna’s pocket (in dollars)
• = For every donut Brianna buys, the money in her pocket decreases by $1.25 ⇒ each donut costs$.125
• = 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 into the equation and solve for :
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

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