Question

American Airlines charges $270 for a flight to Denver and $50 for each piece of luggage. Delta Airlines charges $330 for a flight and only $30 for each piece of luggage. Which inequality shows the number of pieces of luggage that need to be checked for American Airlines to cost more than Delta Airines for a flight to Denver?

F 270 + 50x > 330 + 30x
G 270x +50 > 330x + 30
H 270x + 50 < 330x +30
J 270 +50x > 330 + 30x​

Answer 1

J; 250 + 50x > 330 + 30x

Explanation:

Since we don't have to worry about formatting the numbers to slope-intercept form, we can start the process of elimination.

First, we can disregard G and H because both have the x in the wrong place:

—> F 270 + 50x ≥ 330 + 30x

—> G 270x + 50 > 330x + 30

—> H 270x + 50 < 330x +30

—> J 270 + 50x > 330 + 30x​

We're looking for 270 + 50x > 330 + 30x.

Next, we determine which symbols are correct. Since the question is only asking for when American Airlines would be more expensive, not when it would be just as much or more, we can get rid of F.

—> F 270 + 50x ≥ 330 + 30x

—> J 270 +50x > 330 + 30x

We finally have our answer, J.