Thread: inequality/fuction notation

1. Linda Williams has just begun a nursery business and seeks your advice. 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 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 combinations of blueberry bushes and peach trees she can buy for the amount of money she has.





2.In what ways does function notation have to do with programming?

Originally Posted by Patience

1. Linda Williams has just begun a nursery business and seeks your advice. 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 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 combinations of blueberry bushes and peach trees she can buy for the amount of money she has.

let b be the number of blueberry bushes she can by
let p be the number of peach trees she can buy

since the cost of a blueberry bush is $2.50, the money spent on bluberry bushes would be 2.5b

since the cost of a peach tree is $5.50, the money spent on peach trees will be 5.5p

we do not want the money spent to exceed $500, so we want the inequality:

2.5b + 5.5p <or= 500

to plot this, we just choose what tree we want on which axis.

let's say you want to plot blueberry bushes on the x-axis, and peach trees on the y-axis, then your graph would be graph1. the area under the line and above the positive side of the x-axis should be shaded. any point in this region represents a combination of each tree that can be bought. the points on the line are included, but that's only if she wants to spend the whole $500.

if you wanted to plot the peach trees on the x and the blueberries on the y, you would obtain graph2. again, you want to shade the area under the graph and above the positive side of the x-axis.