Given the slope \( m = 5 \), we can substitute that into the linear equation format \( y = mx + b \). This gives us:
\[ y = 5x + b \]
Next, we need to determine the value of \( b \), which represents the y-intercept (the amount of water in the tank when \( x = 0 \)).
To find \( b \), we can use one of the given points from the table: either \( (3, 100) \) or \( (7, 120) \). We'll use the point \( (3, 100) \).
Substituting \( x = 3 \) and \( y = 100 \) into the equation:
\[ 100 = 5(3) + b \]
Calculating \( 5(3) \):
\[ 100 = 15 + b \]
Now, isolating \( b \):
\[ b = 100 - 15 \] \[ b = 85 \]
Now that we have both \( m \) and \( b \), we can rewrite the equation:
\[ y = 5x + 85 \]
This equation represents the relationship between the time (\( x \), in minutes) and the amount of water (\( y \), in liters) in the tank.