a tree company charges a delivery fee for each tree purchased in addition to the cost of the tree. the…

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.\ncost of trees\n| number of trees purchased | total cost |\n| ---- | ---- |\n| 1 | $60 |\n| 2 | $120 |\n| 3 | $180 |\n| 4 | $240 |\n| 5 | $290 |\nwhich best describes why the function is nonlinear?\nthe rate of change between 1 and 2 trees is different than the rate of change between 2 and 3 trees.\nthe rate of change between 1 and 2 trees is different than the rate of change between 1 and 3 trees.\nthe rate of change between 2 and 3 trees is different than the rate of change between 3 and 4 trees.\nthe rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

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.\ncost of trees\n| number of trees purchased | total cost |\n| ---- | ---- |\n| 1 | $60 |\n| 2 | $120 |\n| 3 | $180 |\n| 4 | $240 |\n| 5 | $290 |\nwhich best describes why the function is nonlinear?\nthe rate of change between 1 and 2 trees is different than the rate of change between 2 and 3 trees.\nthe rate of change between 1 and 2 trees is different than the rate of change between 1 and 3 trees.\nthe rate of change between 2 and 3 trees is different than the rate of change between 3 and 4 trees.\nthe rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

Answer

Explanation:

Step1: Calculate rate of change between 1 and 2 trees

Rate of change = $\frac{120 - 60}{2 - 1}=60$

Step2: Calculate rate of change between 2 and 3 trees

Rate of change = $\frac{180 - 120}{3 - 2}=60$

Step3: Calculate rate of change between 3 and 4 trees

Rate of change = $\frac{240 - 180}{4 - 3}=60$

Step4: Calculate rate of change between 3 and 5 trees

Rate of change = $\frac{290 - 180}{5 - 3}=\frac{110}{2} = 55$ Since the rate of change between 2 and 3 trees ($60$) is different from the rate of change between 3 and 5 trees ($55$), the function is nonlinear.

Answer:

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