Question

The linear function Y equals 144 + 30X represents the cost y in dollars of an airline ticket after adding X checked bags. At most five bags can be checked. Interpret the terms and coefficients in the equation. A) The initial cost of an airline ticket is $144. B) Each checked bag costs $30. C) The maximum number of checked bags is five.

Answer 1

You are correct in your interpretations of the terms and coefficients in the linear equation:

A) The initial cost of an airline ticket is $144.

- This means that even if you don't check any bags (X = 0), the base cost of the airline ticket is $144.

B) Each checked bag costs $30.

- This represents the additional cost incurred for each checked bag. For each bag you check (X), you will be charged an extra $30 on top of the initial cost.

C) The maximum number of checked bags is five.

- This implies that X, the number of checked bags, cannot exceed five. In other words, you can check up to five bags, but if you try to check more than five, it won't be represented accurately by this linear equation.

So, the equation Y = 144 + 30X models the cost (Y) of an airline ticket based on the initial cost of $144, an additional $30 for each checked bag, and a limit of five checked bags.

Explanation: