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

Answer 1

• 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

Answer 2

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=(25)/(1.25)`

`\implies x=20`

Therefore, the greatest number of donuts Brianna can buy is 20 donuts.