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

Answer:

Option C.

Explanation:

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

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

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

$y-0=\frac{1-0}{1-0}(x-0)$

$y=x$

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.