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 4 and 5 trees

Rate of change = $\frac{290 - 240}{5 - 4}=50$ We see that the rate of change between 3 and 4 trees is different from the rate of change between 4 and 5 trees. Checking the options, we need to find the correct comparison. The rate of change between 2 and 3 trees is 60, and the rate of change between 3 and 4 trees is 60, but the rate of change between 3 and 5 trees: Rate of change between 3 and 5 trees = $\frac{290 - 180}{5 - 3}=\frac{110}{2} = 55$ The rate of change between 2 and 3 trees is different from the rate of change between 3 and 5 trees.

Answer:

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