Question

I don’t get any of this it’s stressing me out

Answer 1

y = 10x

Explanation:

For a graph or function to have a proportional relationship, it must follow the form:

y = kx

where k = constant of proportionality

We need to find k in the graph given by picking points for x and y:

when x = 1, y = 10

$\begin{gathered} \text{insert into the formula:} \\ 10\text{ = k(1)} \\ 10\text{ = k} \\ k\text{ = 10} \end{gathered}$

let's pick another point to confirm:

when x = 2, y = 20

$\begin{gathered} 20\text{ = k(2)} \\ 20\text{ = 2k} \\ k\text{ = 20/2} \\ k\text{ = 10} \end{gathered}$

We can see k is constant.

The proportional relationship between the number of counselors and maximum number of children:

$y\text{ = 10x}$