Question

the proportional relationship between two variables, f and g, is represented by $f = \frac{15}{2}g$. what is the constant of proportionality from g to f?

Explanation:

Step1: Recall the proportionality formula

For a proportional relationship between two variables \( f \) and \( g \), the general form is \( f = k \cdot g \), where \( k \) is the constant of proportionality.

Step2: Compare with the given equation

The given equation is \( f=\frac{15}{2}g \). Comparing this with the general form \( f = k \cdot g \), we can see that the value of \( k \) (the constant of proportionality from \( g \) to \( f \)) is \( \frac{15}{2} \).

Answer:

\(\frac{15}{2}\)