Question

a water tank starts with 100 gallons of water and is being filled at a rate of 5 gallons per minute. write a linear function rule that represents the total amount of water in the tank, y, after x minutes. slope-intercept form y = mx + b y = ?x +

Explanation:

Step1: Identify slope (m)

The rate of filling is 5 gallons per minute, so \( m = 5 \).

Step2: Identify y-intercept (b)

Initial water is 100 gallons, so \( b = 100 \).

Step3: Write linear function

Using \( y = mx + b \), substitute m and b.
\( y = 5x + 100 \)

Answer:

\( y = 5x + 100 \)