Question

The dance committee hired DJ Emanuel for the fall

dance. DJ Emanuel charges $I25 per hour plus $55 for
an assistant. The committee wants to keep the total
cost under $600. What is the maximum number of
hours that DJ Emanuel can play at the dance?

I need the inequality, inequality answer, final answer

Answer 1

Inequality: 125x + 55 < 600

Solution of inequality: x < 4.36

Final answer: 4 hours

Explanation:

Let the number of hours be x.

1 hour costs $125.

2 hours cost $125 × 2

3 hours cost $125 × 3

x hours cost $125 × x or simple 125x.

The assistant costs $55.

The total cost is 125x + 55.

The cost must be under $600, so

125x + 55 < 600

Subtract 55 from both sides.

125x < 545

Divide both sides by 125.

x < 4.36

In theory he can be hired for any amount of hours under 4.36 hours, but he probably works only full hours, so you need to round down to 4 hours.

4 hours