Question

Alexander was studying the affect of playing rock music on plant growth. One of the plants was exposed to rock music for 24 hours a day for a period of 6 weeks. Data on the growth of the plant was collected at the end of each week and plotted in a graph, time in weeks on the X-axis and height in decimeters on the Y-axis. Based on the data, which would be the MOST reasonable measurement at the end of a 8 week period?

A) 2 decimeters
B) 6 decimeters
C) 8 decimeters
D) 16 decimeters

Answer 1

C) the answer is c 8 decimeters

Answer 2

Option C.

Step-by-step explanation:

If a line passes through two points
`(x_1,y_1)` and
`(x_2,y_2)`, then the equation of line is

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

From the given graph it is clear that the line passes through the point s(0,0) and (1,1). So, the equation of trend line is

`y-0=(1-0)/(1-0)(x-0)`

`y=x`

Substitute x=8 in the above equation to find the MOST reasonable measurement at the end of a 8 week period.

`y=(8)`

`y=8`

The MOST reasonable measurement at the end of a 8 week period is 8 decimeters.

Therefore, the correct option is C.