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.
what is the constant of proportionality? write your answer as a whole number or decimal.
gallons per minute

Explanation:

Step1: Recall the formula for constant of proportionality

For a proportional relationship \(y = kx\), the constant of proportionality \(k=\frac{y}{x}\).

Step2: Substitute values from the table

Using the first row of the table (\(x = 1,y = 23\)), we substitute into the formula \(k=\frac{y}{x}\). So \(k=\frac{23}{1}=23\).
We can check 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