An event planner, is ordering centerpieces and garlands for a holiday party. Each garland costs $42 and each centerpiece costs $9. The planner has been given a total floral budget of no more than $650. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x = the number of garlands ordered y = the number of centerpieces ordered Choices: (A)42x + 9y 650

Garland Cost Calculation: We know: Cost of each garland: $42 Number of garlands ordered: x What is the total cost of the garlands? Cost of each garland × Number of garlands = 42 × x = 42x Total cost of garlands: 42xCenterpiece Cost Calculation: We know: Cost of each centerpiece: $9 Number of centerpieces ordered: y What is the total cost of the centerpieces? Cost of each centerpiece × Number of centerpieces = 9 × y = 9y Total cost of centerpieces: 9yTotal Cost Calculation: We know: Total cost of garlands: 42x Total cost of centerpieces: 9y What is the total cost of garlands and centerpieces? Add total cost of garlands and centerpieces. 42x + 9yBudget Inequality: We know: Total cost of garlands and centerpieces: 42x + 9y Event planner's floral budget: No more than $650 Select the inequality that describes this situation. Total cost must be less than or equal to 650. Inequality: 42x + 9y ≤ 650

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An event planner, is ordering centerpieces and garlands for a holiday party. Each garland costs $\$42$ and each centerpiece costs $\$9$ . The planner has been given a total floral budget of no more than $\$650$ . $\newline$ Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. $\newline$ $x =$ the number of garlands ordered $\newline$ $y =$ the number of centerpieces ordered $\newline$ Choices: $\newline$ (A) 42x + 9y < 650 $\newline$ (B) $42x + 9y \leq 650$ $\newline$ (C) $42x + 9y \geq 650$ $\newline$ (D) 42x + 9y > 650

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Algebra 2

Write a linear inequality: word problems

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Q. An event planner, is ordering centerpieces and garlands for a holiday party. Each garland costs

\$42

and each centerpiece costs

\$9

. The planner has been given a total floral budget of no more than

\$650

\newline

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

\newline

x =

the number of garlands ordered

\newline

y =

the number of centerpieces ordered

\newline

Choices:

\newline

(A)

42x + 9y < 650

\newline

(B)

42x + 9y \leq 650

\newline

(C)

42x + 9y \geq 650

\newline

(D)

42x + 9y > 650

Garland Cost Calculation: We know: $\newline$ Cost of each garland: $\$42$ $\newline$ Number of garlands ordered: $x$ $\newline$ What is the total cost of the garlands? $\newline$ Cost of each garland $\times$ Number of garlands $\newline$ $= 42 \times x$ $\newline$ $= 42x$ $\newline$ Total cost of garlands: $42x$
Centerpiece Cost Calculation: We know: $\newline$ Cost of each centerpiece: $\$9$ $\newline$ Number of centerpieces ordered: $y$ $\newline$ What is the total cost of the centerpieces? $\newline$ Cost of each centerpiece $\times$ Number of centerpieces $\newline$ $= 9 \times y$ $\newline$ $= 9y$ $\newline$ Total cost of centerpieces: $9y$
Total Cost Calculation: We know: $\newline$ Total cost of garlands: $42x$ $\newline$ Total cost of centerpieces: $9y$ $\newline$ What is the total cost of garlands and centerpieces? $\newline$ Add total cost of garlands and centerpieces. $\newline$ $42x + 9y$
Budget Inequality: We know: $\newline$ Total cost of garlands and centerpieces: $42x + 9y$ $\newline$ Event planner's floral budget: No more than $\$650$ $\newline$ Select the inequality that describes this situation. $\newline$ Total cost must be less than or equal to $650$ . $\newline$ Inequality: $42x + 9y \leq 650$