Question

A= the first tree was five inches tall when planted.It has grown four inches every month since being planted.B= measurements were taken of the second tree and give below.months 0 2 3 5height 3 12 16.5 25.5 C=shows the graph below.which of the trees is growing fastest?tree A ,tree B or tree CWhich tree was the tallest when it was first planted?Tree A,tree B or tree CWhich tree is the talles after 6 months?Tree A,tree B or tree C

Answer 1

The easiest way to know which tree is growing fastest is to find the slope of each tree growth.

Slope of tree A is already given, and is 4

For the slope of tree B, use two of the pairs given on the table.

`m=(12-3)/(2-0)=(9)/(2)=4.5`

Similar procedure is done for the slope of tree C, use two points on the graph to find the slope.

`m=(17-10)/(2-0)=(7)/(2)=3.5`

The greatest slope is 4.5 and corresponds to tree B, it means tree B is the one that is growing fastest.

Tree A was 5 inches tall when first planted, tree B was 3 inches and tree C was 10 inches. It means the tallest tree when it was first planted as tree C.

After 6 months, tree A will be (4*6)+5=29 inches.

After 6 months tree B will be (4.5*6)+3=30 inches.

After 6 months tree C will be 31 inches.

It means that after 6 months, tree C will be the tallest of them.