Question

a pool is being filled with water. it starts with 2 gallons of water and is filled at a rate of 12 gallons per minute. the graph below represents the relationship between the number of minutes and the gallons of water in the pool. what is the slope of the line? slope =

Explanation:

Step1: Identify two points on the line

From the graph, we can take $(x_1,y_1)=(0,2)$ and $(x_2,y_2)=(1,14)$.

Step2: Apply slope formula

The slope formula is $m=\frac{y_2-y_1}{x_2-x_1}$. Substitute the points:
$m=\frac{14-2}{1-0}$

Step3: Calculate the slope

Simplify the expression:
$m=\frac{12}{1}=12$

Answer:

12