Question
or
A tour director is hiring boats to transport a group of tourists across a river. He must make sure there is room for at least 39 passengers, the number of tourists in the group. A dinghy can seat 5 passengers and a flatboat can seat 2 passengers.
Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.
x = the number of dinghies
y = the number of flatboats
Answers
GPT-4o mini
To describe the situation using an inequality in standard form, we can first determine the total capacity each type of boat can provide based on the variables given:
- Each dinghy can seat 5 passengers, so the total capacity from the dinghies can be represented as \(5x\).
- Each flatboat can seat 2 passengers, so the total capacity from the flatboats can be represented as \(2y\).
The tour director needs to accommodate at least 39 passengers, which gives us the inequality:
\[
5x + 2y \geq 39
\]
To write it in standard form, we rearrange it to get all terms on one side:
\[
5x + 2y - 39 \geq 0
\]
Thus, the inequality in standard form is:
\[
5x + 2y \geq 39
\]
This inequality indicates that the total seating capacity of the selected boats must be at least 39 passengers.
- Each dinghy can seat 5 passengers, so the total capacity from the dinghies can be represented as \(5x\).
- Each flatboat can seat 2 passengers, so the total capacity from the flatboats can be represented as \(2y\).
The tour director needs to accommodate at least 39 passengers, which gives us the inequality:
\[
5x + 2y \geq 39
\]
To write it in standard form, we rearrange it to get all terms on one side:
\[
5x + 2y - 39 \geq 0
\]
Thus, the inequality in standard form is:
\[
5x + 2y \geq 39
\]
This inequality indicates that the total seating capacity of the selected boats must be at least 39 passengers.