Respuesta :
we know that
A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
In this problem
Jorge bought [tex]16[/tex] apples for [tex]\$8.00[/tex]
This is a direct variation problem
Let
x-----> the number of apples purchased
y-----> the total cost
[tex]y/x=k[/tex]
The value of k is equal to the value of the slope m
Substitute
[tex]8/16=k[/tex]
[tex]k=0.5\frac{\$}{apple} [/tex]
The linear equation is
[tex]y=0.50x[/tex]
using a graphing tool
see the attached figure
The answer in the attached figure