Question

The table shows the price of different amounts of gourmet coffee at a grocery store

Answer 1

The constant of proportionality is ''7.5''

Step-by-step explanation:

Hope this helps guys! :)

Answer 2

The price is the dependent variable

The amount of coffee is the independent variable

The constant of proportionality:

When two variables are directly or indirectly proportional to each other, then their relationship can be described as y = kx or y = k/x, where k determines how the two variables are related to one another. This k is known as the constant of proportionality.

For this problem, As the amount increases, Price increases as well. This is a direct variation scenario.

Thus, We can say

`\begin{gathered} p\text{ rice, p }\alpha\text{ }Amount,\text{ A} \\ p\alpha A \\ p=kA,\text{ where k = constant of proportionality} \\ k=(p)/(a) \end{gathered}`
`\begin{gathered} k=(7.5)/(1) \\ k=7.5 \end{gathered}`

Thus, the constant of proportionality = 7.5