State whether the relationship between the variables in the table is a direct variation, an inverse variation, or neither. If it is a direct or inverse variation, write a function to model it.
x=3,8,10,22
y=15,40,50,110
This relationship is a direct variation.
To find the function that models this relationship, we can use the equation y = kx, where k is the constant of variation. We can find k by selecting a point on the graph and substituting the values of x and y into the equation. Let's use the point (3,15):
15 = k * 3
k = 5
Now that we have determined that k = 5, we can write the function that models this direct variation:
y = 5x