Question

Your air conditioner hasn’t been working properly, so you decide to set up an appointment to have it fixed. The repair company tells you that it costs $99 for a one time service fee plus $50 every hour. The technician came to your house and determined the drain was clogged. The total bill came to $549. Write an equation that represents this situation. (do not use any spaces in your equation & use the letter "x" to represent your variable)

Answer 1

`99 + 50x = 549`

Alternatively you can write it as;

`50x - 450 = 0`

Explanation:

One time service fee=$99

Rate of service=$50/hour

let unknown hours=x

Therefore the equation is

`99 + 50x = 549`

or you can further simplify it to:

`50x - 450 = 0`

And you can then solve for x to be 9 hours.