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.

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lucyabbylucky lucyabbylucky · Answer 1 · 2020-01-24T16:45:46+01:00

Answer:

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

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poona2339 poona2339 · Answer 2 · 2022-07-20T17:33:55+02:00

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

Number of tree purchased Total Cost ($)

1 60

2 120

3 180

4 240

5 290

For the linear function rate of change is constant.

Now, between 2 and 3 trees rate of change is given by

[tex]=\frac{180-120}{3-2} \\\\=60\\[/tex]

Now, between 3 and 5 trees rate of change is given by

[tex]=\frac{200- 180}{5-3} \\\\=55[/tex]

This is clearly that the rate of change isn't constant. Therefore, the function is non-linear.

so,

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

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