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Michelle has a maximum of 4500 milliliters
(ml) of water for her plants today. Each basil plant requires
350ml of water, and each fennel plant requires
525ml of water.
Write an inequality that represents the number of basil plants
(B) and fennel plants
(F) Michelle can water today.

Michelle has a maximum of $4500$ milliliters (ml) of water for her plants today. Each basil plant requires $350\text{ml}$ of water, and each fennel plant requires $525\text{ml}$ of water. $\newline$ Write an inequality that represents the number of basil plants $(B)$ and fennel plants $(F)$ Michelle can water today.

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Modeling with linear inequalities

Full solution

Q. Michelle has a maximum of

4500

milliliters (ml) of water for her plants today. Each basil plant requires

350\text{ml}

of water, and each fennel plant requires

525\text{ml}

of water.

\newline

Write an inequality that represents the number of basil plants

(B)

and fennel plants

(F)

Michelle can water today.

Identify water requirements: Identify the amount of water each type of plant requires. $\newline$ Basil plants require $350\text{ml}$ of water each, and fennel plants require $525\text{ml}$ of water each.
Set up inequality for water usage: Set up the inequality to represent the total amount of water used by $B$ basil plants and $F$ fennel plants. $\newline$ The total water used by $B$ basil plants is $350\text{ml}$ times the number of basil plants ( $B$ ), which is $350B\text{ ml}$ . $\newline$ The total water used by $F$ fennel plants is $525\text{ml}$ times the number of fennel plants ( $F$ ), which is $525F\text{ ml}$ .
Combine water usage into single inequality: Combine the water usage for both plants into a single inequality. $\newline$ The combined water usage should be less than or equal to the maximum amount of water available, which is $4500\text{ml}$ . $\newline$ So, the inequality is $350B + 525F \leq 4500$ .
Check the validity of the inequality: Check the inequality to ensure it makes sense in the context of the problem. $\newline$ The inequality $350B + 525F \leq 4500$ correctly represents the maximum amount of water Michelle can use to water her basil and fennel plants.

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