The table shows a function. Is the function linear or nonlinear?
x y
0 8 3/5
6 6 3/5
10 1
The function is nonlinear.
To determine whether the function is linear or nonlinear, we need to check if there is a constant rate of change between the x-values and the corresponding y-values.
To do this, we can calculate the rate of change between the given points.
From x = 0 to x = 6:
y changes from 8 3/5 to 6 3/5.
The change in y is (8 3/5) - (6 3/5) = 2/5.
From x = 6 to x = 10:
y changes from 6 3/5 to 1.
The change in y is (6 3/5) - 1 = 1 3/5.
As the rate of change between the x-values and the corresponding y-values is not constant, the function is nonlinear.