Question

Help plz! The graph shows the heights, y (in centimeters), of a plant after a certain number of weeks, x. Shania drew the line of best fit on the graph.

What would most likely be the approximate height of the plant after 7 weeks?

A- 5.2 centimeters

B- 7.6 centimeters

C- 8.7 centimeters

D- 12.7 centimeters

Answer 1

b even know like ur gragh isnt big enough be best fits it c is the next best thing

Answer 2

Hence, the height of the plant after 7 weeks is:

5.2 centimeters.

Explanation:

The graph shows the heights, y (in centimeters), of a plant after a certain number of weeks, x.

Shania drew the line of best fit on the graph.

We are asked to find what would be the approximate height of the plant after 7 weeks.

Clearly from the graph we could see that the line of best fit passes through the point:

(0,1) and (5,4)

we know that the equation of a line passing through two points (a,b) and (c,d) is given by:

`y-b=(d-b)/(c-a)* (x-a)`

Here we have:

(a,b)=(0,1) and (c,d)=(5,4)

Hence, the equation of line is:

`y-1=(4-1)/(5-0)* (x-0)\\\\y-1=(3)/(5)x\\\\y=(3x)/(5)+1`

Hence, the height of the plant after 7 weeks is evaluated by finding the value of y when x=7.

`y=(3)/(5)* 7+1\\\\y=(3* 7+1* 5)/(5)\\\\y=(21+5)/(5)\\\\y=(26)/(5)\\\\y=5.2 cm`

Hence, the height of the plant after 7 weeks is:

5.2 centimeters.