Tom is booking a band and a DJ for a dance, and wants to keep the cost of the entertainment under $1,300. A band can play for part of the time at an hourly rate of $180, and a DJ can play for the remaining time at an hourly rate of $89. Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. x = the number of hours the band will play y = the number of hours the DJ will play Choices: (A)89x + 180y > 1,300 (B)89x + 180y 1,300

Band Cost Calculation: Determine the cost for the band. The band's hourly rate is $180. Number of hours the band will play: x Total cost for the band: 180 × x = 180xDJ Cost Calculation: Determine the cost for the DJ. The DJ's hourly rate is $89. Number of hours the DJ will play: y Total cost for the DJ: 89 × y = 89yTotal Cost Inequality: Combine the costs to form an inequality. Tom wants to keep the total cost under $1,300. Total cost for the band and DJ: 180x + 89y The inequality should reflect that the total cost should be less than $1,300. Inequality: 180x + 89y < 1,300

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Tom is booking a band and a DJ for a dance, and wants to keep the cost of the entertainment under $\$1,300$ . A band can play for part of the time at an hourly rate of $\$180$ , and a DJ can play for the remaining time at an hourly rate of $\$89$ . $\newline$ Select the inequality in standard form that describes this situation. Use the given numbers and the following variables. $\newline$ $x =$ the number of hours the band will play $\newline$ $y =$ the number of hours the DJ will play $\newline$ Choices: $\newline$ (A) 89x + 180y > 1,300 $\newline$ (B) 89x + 180y < 1,300 $\newline$ (C) 180x + 89y < 1,300 $\newline$ (D) 180x + 89y > 1,300

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Algebra 2

Write a linear inequality: word problems

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Q. Tom is booking a band and a DJ for a dance, and wants to keep the cost of the entertainment under

\$1,300

. A band can play for part of the time at an hourly rate of

\$180

, and a DJ can play for the remaining time at an hourly rate of

\$89

\newline

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

\newline

x =

the number of hours the band will play

\newline

y =

the number of hours the DJ will play

\newline

Choices:

\newline

(A)

89x + 180y > 1,300

\newline

(B)

89x + 180y < 1,300

\newline

(C)

180x + 89y < 1,300

\newline

(D)

180x + 89y > 1,300

Band Cost Calculation: Determine the cost for the band. $\newline$ The band's hourly rate is $\$180$ . $\newline$ Number of hours the band will play: $x$ $\newline$ Total cost for the band: $180 \times x = 180x$
DJ Cost Calculation: Determine the cost for the DJ. $\newline$ The DJ's hourly rate is $\$89$ . $\newline$ Number of hours the DJ will play: $y$ $\newline$ Total cost for the DJ: $89 \times y = 89y$
Total Cost Inequality: Combine the costs to form an inequality. $\newline$ Tom wants to keep the total cost under $\$1,300$ . $\newline$ Total cost for the band and DJ: $180x + 89y$ $\newline$ The inequality should reflect that the total cost should be less than $\$1,300$ . $\newline$ Inequality: 180x + 89y < 1,300