A bathtub is filled with 40 gallons of water. The water starts draining out of the tub at a rate of 8 gallons per minute. Choose the sketch of a graph that shows the relationship between the number of minutes since the tub started draining and the number of gallons of water in the tub.(1 point)

Answer 1

To visualize the relationship between the number of minutes and the amount of water remaining in the bathtub, we can create a linear graph.

1. Starting Point: The graph starts at (0, 40) because initially, there are 40 gallons of water.
2. Rate of Change: The water drains at a constant rate of 8 gallons per minute. This means for every minute that passes, the amount of water will decrease by 8 gallons.
3. Ending Point: Since the tub initially has 40 gallons, and drains at 8 gallons per minute, after 5 minutes, the tub will be empty (40 gallons ÷ 8 gallons/minute = 5 minutes).

The points on your graph will look like this:

• At 0 minutes: 40 gallons
• At 1 minute: 32 gallons (40 - 8)
• At 2 minutes: 24 gallons (32 - 8)
• At 3 minutes: 16 gallons (24 - 8)
• At 4 minutes: 8 gallons (16 - 8)
• At 5 minutes: 0 gallons (8 - 8)

The graph will be a straight line that starts at the point (0, 40) and ends at the point (5, 0), representing a linear decrease.

Choose a sketch that:

• Has the y-axis labeled "Gallons of Water" and ranges from 0 to 40.
• Has the x-axis labeled "Minutes" and ranges from 0 to at least 5.
• Shows a straight diagonal line going down from (0, 40) to (5, 0).

This representation clearly shows the relationship between time and the remaining volume of water in the bathtub as it drains.