Question

brenda is booking a band and a dj for a dance, and wants to keep the cost of the entertainment under $1,000. a band can play for part of the time at an hourly rate of $120, and a dj can play for the remaining time at an hourly rate of $95. write 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

Explanation:

Step1: Calculate band cost

The cost of the band is $120x$ (since the band's rate is $120$ per hour and plays for $x$ hours).

Step2: Calculate DJ cost

The cost of the DJ is $95y$ (since the DJ's rate is $95$ per hour and plays for $y$ hours).

Step3: Set up inequality

The total cost of the band and DJ should be under $1000$. So the inequality is $120x + 95y<1000$.

Answer:

$120x + 95y<1000$