A transportation agency has one 48-seater bus and some 18-seater buses. They have enough seats to board no more than 300 passengers on their buses. Which inequality represents the possible number of 18-seater buses they have? 7.PAFR.2.1

Question

48x+18≤300
48+18x≥300
48x+18≥300
48+18x≤300

Answer 1

To set up the inequality representing the situation given:

Let \( x \) be the number of 18-seater buses.

The total number of seats provided by the buses includes:

• 48 seats from the 48-seater bus
• \( 18x \) seats from the \( x \) number of 18-seater buses

The total number of seats must be less than or equal to 300 passengers. Therefore, the inequality can be set up as:

\[ 48 + 18x \leq 300 \]

This means the correct option is:

48 + 18x ≤ 300.