A large cooler full of water is being drained. The relationship between the amount of water in the cooler in liters and the number of minutes the cooler is draining is shown in the provided graph. What is the meaning of the x
-intercept in this situation?
A line is graphed on a first quadrant coordinate plane. The horizontal axis labeled Time in minutes goes from 0 to 20 in increments of 1. The vertical axis labeled Water in liters goes from 0 to 80 in increments of 5. A line starts at (0, 60) and ends at (15, 0).
(1 point)
Responses
The cooler has 60
liters before it is drained.
The cooler has 60 liters before it is drained.
The cooler has 15
liters before it is drained.
The cooler has 15 liters before it is drained.
The cooler is empty after 15
minutes.
The cooler is empty after 15 minutes.
The water is draining at 4
liters per minute.
The meaning of the x-intercept in this situation is that the cooler is empty after 15 minutes.
To find the meaning of the x-intercept in this situation, we need to understand what the x-intercept represents on the graph. The x-intercept is the point where the line representing the relationship between the amount of water in the cooler (y-axis) and the number of minutes the cooler is draining (x-axis) intersects the x-axis.
In this case, the x-intercept is the point where the line crosses the x-axis, which is at (15, 0). This means that after 15 minutes of draining, the cooler is completely empty. Therefore, the meaning of the x-intercept in this situation is that the cooler is empty after 15 minutes of draining.