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

Answer:

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

5.2 centimeters.

Step-by-step 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:

$y-b=\dfrac{d-b}{c-a}\times (x-a)$

Here we have:

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

Hence, the equation of line is:

$y-1=\dfrac{4-1}{5-0}\times (x-0)\\\\y-1=\dfrac{3}{5}x\\\\y=\dfrac{3x}{5}+1$

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

$y=\dfrac{3}{5}\times 7+1\\\\y=\dfrac{3\times 7+1\times 5}{5}\\\\y=\dfrac{21+5}{5}\\\\y=\dfrac{26}{5}\\\\y=5.2 cm$

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

5.2 centimeters.