Question

If g(t) = 14t, then g is proportional to t. What is the constant of proportionality?

Answer 1

ANSWER

14

EXPLANATION

We want to find the constant of proportionality.

A constant of proportionality is a value that describes the relationship between two variables.

It shows how a change in one variable affects the other.

We can say it is a ratio of two variables that are proportional to one another.

We have that:

g(t) = 14t

To find the constant of proportionality, we will simply find the ratio of g(t) to t in fraction form:

$\begin{gathered} g(t)\text{ = 14t} \\ \Rightarrow\text{ }\frac{g(t)}{t}\text{ = 14} \end{gathered}$

Therefore, the constant of proportionality is 14.