Question
Alexis is filling up her pool. She fills it with water at a constant rate of 5 gallons every minute.
What does x represent?
x y
0 0
1 5
2 10
3 15
4 20
5 25
Number of minutes
Gallons of water
Number of
What does x represent?
x y
0 0
1 5
2 10
3 15
4 20
5 25
Number of minutes
Gallons of water
Number of
Answers
GPT-4o mini
In the context of the problem, \( x \) represents the **number of minutes** that Alexis has been filling the pool with water. As the minutes increase, the gallons of water in the pool (represented by \( y \)) also increase at a constant rate of 5 gallons per minute.
So, the table you provided can be understood as follows:
- When \( x = 0 \) (0 minutes), \( y = 0 \) gallons.
- When \( x = 1 \) (1 minute), \( y = 5 \) gallons.
- When \( x = 2 \) (2 minutes), \( y = 10 \) gallons.
- When \( x = 3 \) (3 minutes), \( y = 15 \) gallons.
- When \( x = 4 \) (4 minutes), \( y = 20 \) gallons.
- When \( x = 5 \) (5 minutes), \( y = 25 \) gallons.
Thus, \( x \) is the input (independent variable, representing time in minutes), and \( y \) is the output (dependent variable, representing the gallons of water).
So, the table you provided can be understood as follows:
- When \( x = 0 \) (0 minutes), \( y = 0 \) gallons.
- When \( x = 1 \) (1 minute), \( y = 5 \) gallons.
- When \( x = 2 \) (2 minutes), \( y = 10 \) gallons.
- When \( x = 3 \) (3 minutes), \( y = 15 \) gallons.
- When \( x = 4 \) (4 minutes), \( y = 20 \) gallons.
- When \( x = 5 \) (5 minutes), \( y = 25 \) gallons.
Thus, \( x \) is the input (independent variable, representing time in minutes), and \( y \) is the output (dependent variable, representing the gallons of water).