Question

A tree company charges a delivery fee for each tree purchased in addition to the cost of the tree. The delivery fee decreases as the number of trees purchased increases. The table below represents the total cost of x trees purchased, including delivery fees.
Which best describes why the function is nonlinear?


The rate of change between 1 and 2 trees is different than the rate of change between 2 and 3 trees.

The rate of change between 1 and 2 trees is different than the rate of change between 1 and 3 trees.

The rate of change between 2 and 3 trees is different than the rate of change between 3 and 4 trees.

The rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

Answer 1

Answer:

the rate of change between 4 and 5 makes it nonlinear .  . .so the 3 to 5 would be the closest to that

Step-by-step explanation:

The rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

Answer 2

Answer:

The best statement that describes why the function is nonlinear is:

The rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

Step-by-step explanation:

As we could see that for a linear function the rate of change is constant between two points.

Here rate of change between 2 and 3 trees is given by:

$=\dfrac{180-120}{3-2}=\dfrac{60}{1}=60$

and the rate of change between 3 and 5 trees is calculated by:

$=\dfrac{290-180}{5-3}=\dfrac{110}{2}=55$

Clearly we could observe that the rate of change is not constant.

Hence, the function is non-linear.