Question

edna is throwing a pool party to kick off the summer. her pool is empty, so she starts filling it with water from a garden hose. there is a proportional relationship between the time edna has been filling up the pool (in minutes), x, and the volume of water in the pool (in gallons), y. x (minutes) y (gallons) 1 23 2 46 3 69 4 92 what is the constant of proportionality? write your answer as a whole number or decimal. gallons per minute

Explanation:

Step1: Recall proportionality formula

For a proportional relationship $y = kx$, where $k$ is the constant of proportionality.

Step2: Calculate $k$ using values from table

Using the first row ($x = 1,y = 23$), substitute into $k=\frac{y}{x}$. So $k=\frac{23}{1}=23$.

Step3: Confirm with other rows

For $x = 2,y = 46$, $k=\frac{46}{2}=23$; for $x = 3,y = 69$, $k=\frac{69}{3}=23$; for $x = 4,y = 92$, $k=\frac{92}{4}=23$.

Answer:

23