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Steven recorded the growth of a plant over 10 weeks for his science project. He made a graph that shows how much the plant grew each week. The plant was 2 in. tall when Steven started his project. At week 5, the plant was 8 in. tall.

Which equation represents Steven’s situation, where x is the number of weeks and y is the height of the plant?

A. y= 8/5x+2
B. y= 6/5x+2
C. y= 5/8x+2
D. y= 5/6x+2

Respuesta :

isobellemoxon
y= 6/5x + 2
If you substitute the points (5,8) you get:
8 = 6/5 × 5 + 2
8 = 6 + 2

Answer:

Answer is option B.

Step-by-step explanation:

Given information:

Assume the growth of plant is linear

When Steven started his project [tex](x_1=0)[/tex] , growth of plant is[tex](y_1=2 \rm in)[/tex]

At week 5,[tex](x_2=5)[/tex], growth of plant is [tex](y_2=8 \rm in)[/tex]

We know, equation of line is,

[tex](y-y_1)=m\times (x-x_1)[/tex],where [tex]m[/tex] is the slope of equation

[tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{8-2}{5-0}=\frac{6}{5}[/tex]

On substituting [tex]m[/tex],

[tex](y-2)=\frac{6}{5}\times (x-0)[/tex]

[tex]y=\frac{6}{5}x +2[/tex]

So, answer is option B.

For more details please refer link:

https://brainly.com/question/11897796?referrer=searchResults

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