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As part of a landscaping project, Mr. Myers is purchasing plants from a garden center. It will cost $\$39$ to buy a mature tree, versus $\$8$ for a young one. His target is to keep the cost under $\$1,300$ . Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. $\newline$ $x$ = the number of mature trees $\newline$ $y$ = the number of young trees

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Write a linear inequality: word problems

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Q. As part of a landscaping project, Mr. Myers is purchasing plants from a garden center. It will cost

\$39

to buy a mature tree, versus

\$8

for a young one. His target is to keep the cost under

\$1,300

. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

\newline

x

= the number of mature trees

\newline

y

= the number of young trees

Cost of Mature Trees: We know: Cost of a mature tree: $\$39$ Number of mature trees: $x$ What is the total cost for mature trees? Cost of a mature tree $\times$ Number of mature trees = $39 \times x$ = $39x$ Total cost for mature trees: $39x$
Cost of Young Trees: We know: Cost of a young tree: $\$8$ Number of young trees: $y$ What is the total cost for young trees? Cost of a young tree $\times$ Number of young trees $= 8 \times y = 8y$ Total cost for young trees: $8y$
Total Cost Calculation: We know:
Cost for mature trees: $39x$
Cost for young trees: $8y$
What is the total cost for mature and young trees?
Add total cost for mature and young trees.
$= 39x + 8y$
Cost Target Inequality: We know: $\newline$ Total cost: $39x + 8y$ $\newline$ Mr. Myers' cost target: Under $ext{ extdollar}1,300$ $\newline$ Select the inequality that describes this situation. $\newline$ Total cost must be less than $ext{ extdollar}1,300$ . $\newline$ Inequality: 39x + 8y < 1,300

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