Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

PLEASE HELP! *Any Irrelevant Information will be reported as spam*
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

Sagot :

  • 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
semsee45

Answer:

Part (a)

Given equation:

[tex]y = - 1.25x + 25[/tex]

  • [tex]x[/tex] = number of donuts Brianna buys
  • [tex]y[/tex] = total amount of money in Brianna's pocket (in dollars)
  • [tex]-1.25[/tex] = For every donut Brianna buys, the money in her pocket decreases by $1.25 ⇒ each donut costs $.125
  • [tex]25[/tex] = 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 [tex]y = 0[/tex] into the equation and solve for [tex]x[/tex]:

[tex]\implies 0=-1.25x+25[/tex]

[tex]\implies 1.25x=25[/tex]

[tex]\implies x=\dfrac{25}{1.25}[/tex]

[tex]\implies x=20[/tex]

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

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.