Question

as part of a landscaping project, mr. scott is purchasing plants from a garden center. it will cost $38.60 to buy a mature tree, versus $11.65 for a young one. his target is to keep the cost under $1,200. write the inequality in standard form that describes this situation. use the given numbers and the following variables. x = the number of mature trees y = the number of young trees

Explanation:

Step1: Calculate cost of mature trees

The cost of $x$ mature trees is $38.60x$ since each mature tree costs $\$38.60$.

Step2: Calculate cost of young trees

The cost of $y$ young trees is $11.65y$ since each young tree costs $\$11.65$.

Step3: Set up the inequality

The total cost of the trees is the sum of the cost of mature trees and young trees, and it must be under $\$1200$. So the inequality is $38.60x + 11.65y<1200$. In standard - form (where we usually have integer coefficients), we multiply through by 100 to get $3860x + 1165y<120000$.

Answer:

$3860x + 1165y<120000$