Tuesday
October 21, 2014

Homework Help: math, algebra

Posted by jasmine20 on Friday, December 29, 2006 at 2:37pm.

can someone correct this for me...

Problem :
Business and finance. Linda Williams has just begun a nursery business and seeks your advice. She has limited funds to spend and wants to stock two kinds of fruit-bearing plants. She lives in the northeastern part of Texas and thinks that blueberry bushes and peach trees would sell well there. Linda can buy blueberry bushes from a supplier for $2.50 each and young peach trees for $5.50 each. She wants to know what combination she should buy and keep her outlay to $500 or less. Write an inequality and draw a graph to depict what combination of blueberry bushes and peach trees she can buy for the amount of money she has. Explain the graph and her options.

My answer so far:
Let the No. of blueberry bushes he purchases be= x
Let the No. of peach trees he purchases be = y
Cost of each blueberry bushes= $2.50
Cost of each peach trees = $5.50
Cost of x Number of blueberry bushes =$2.50 (x)
Cost of y Number of peach trees = $5.50 (y)
Totoal cost of x Number of blueberry bushes and y Number of peach trees
=$2.50 (x) + $5.50(y)

This amount should be less than or equal to $500.
i.e. 2.50x + 5.5y < 500

Am i going correctly if so what do i do after this that i have?


Set up an x-y graph. When x=0, y will be
max number of peach trees; when y=0, x will be max number of blueberry bushes.
She can then buy any combination of x and y on that line and stay <$500. You can also solve for x in terms of y, and do several calc's, but the curve is easier.

THis is what i get when i solve for x and y. but how do i place it as an equation to graph.

This amount should be less than or equal to $500.
i.e. 2.50x + 5.5y < 500

2.50 (0) +5.5y = 500
5.5y/5.5 = 500/5.5
y = 90.90

2.50x + 5.5(0) =500
2.50x/2.50 = 500/2.50
x = 200

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