Question

the constant of proportionality is 2.5. complete the equation to show the relationship between p, the price, and w, the weight. p =? w

Explanation:

Step1: Identify the relationship type

The table shows that as weight (\(w\)) increases, price (\(p\)) increases proportionally. The constant of proportionality is given as \(2.5\). For a proportional relationship, the formula is \(p = k\times w\), where \(k\) is the constant of proportionality.

Step2: Substitute the constant

Here, \(k = 2.5\), so substituting into the formula, we get \(p = 2.5\times w\) or \(p = 2.5w\).

Answer:

\(p = 2.5w\)