Question

mr. chandler is organizing a field trip and is trying to figure out which vehicles to rent. he will need to transport at least 76 people, since that is the number of people going on the trip. a van can seat 6 people and a bus can seat 38 people. select the inequality in standard form that describes this situation. use the given numbers and the following variables. x = the number of vans rented y = the number of buses rented 6x + 38y ≤ 76 38x + 6y ≥ 76 38x + 6y ≤ 76 6x + 38y ≥ 76

Explanation:

Step1: Determine people - carrying capacity

Each van can carry 6 people, so $x$ vans can carry $6x$ people. Each bus can carry 38 people, so $y$ buses can carry $38y$ people.

Step2: Set up the inequality

He needs to transport at least 76 people. So the total number of people carried by vans and buses, $6x + 38y$, must be greater than or equal to 76. The inequality is $6x+38y\geq76$.

Answer:

$6x + 38y\geq76$