Question

There is a porportional relationship between the number of months a person has had a streaming movies subscription and the total amount of money they have paid for the subscription. the cost for 6 months is $47.94.what is the constant of proportionality?

Answer 1

Finding the constant of proportionality is equivalent to finding how much the subscription is worth in 1 month. For this, you can use the rule of three

`\begin{gathered} 6\text{ months}\rightarrow\text{ \$}47.94 \\ 1\text{ month}\rightarrow x \\ x=\frac{1\text{ month}\cdot\text{\$}47.94}{6\text{ months}} \\ x=\frac{\text{\$}47.94}{6} \\ x=\text{\$}7.99 \end{gathered}`

Which implies that the subscription of streaming movies every month is worth $ 7.99 and therefore, 7.99 is the constant of proportionality.