Question

166 Mr. Smith needs to hire a plumber to do repairs at his house. The table shows the amounts Company A and Coinpany B charges for a service call and their hourly rate. Which inequality represents the number of hours that would make Company B less expensive than Coinpany A? アシューリア Company Services ? Calle $55 Hour] Rate; $44 A B $75 $20 A 75 + 20x > 55 + 44x B 75 + 44x>55 + 20x C 75 + 20x < 55 + 44x D 75 + 44x

Answer 1

Answer:

Choice C.

Explanation:

Let us interpret what the table is saying.

For company A, the service call costs $55 and the hourly rate is $44; therefore, if we call x the number of hours then the cost of company A is

$55+44x$

For company B, the service call costs $75 and the hourly rate is $20; therefore, if we call x the number of hours, then the cost of company B will be

$75+20x$

We want company B to be less expensive than Company A

$\text{Company B Therefore, we have[tex]75+20x<55+44x$

which is choice C.