Suppose that a certain strain of pea plant requires 14 days to reach a height of 6 inches and 30 days to reach a height of 16 inches. How many days would it take a plant of this strain to reach a height of 12 inches? * i got 15 days, am i right? *

- anonymous

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- anonymous

Let's just check with the steps,
Did you get m ?

- anonymous

m?

- anonymous

the slope :)

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- anonymous

ohh, noo i just cross multiplied and divided (:

- anonymous

It's okay, you must find the slope to find the equation of the line :)
m = y2-y2/x2-x1
after that, choose any of the given points to plug in the following equation :
y - yo= m(x-xo) :)

- anonymous

oh wait a min, wasn't the question find the linear equation?.-.

- anonymous

noo (:

- anonymous

oh dear, but you wrote that in the previous one >_< lol

- anonymous

the other one was, but not this one lol

- anonymous

oh okay, then you have to use the equation you got in the previous question then plug in x to find y :) since we said that
y = height
x = number of days
when you plug in x, you'll get y, that's it ^_^

- anonymous

wait what

- anonymous

so you have an equation in the form of :
y = mx + B <-- from the previous question
plug in y = 12, to get x = number of days ^_^

- anonymous

what what? ._.

- anonymous

ohh dont worry, I guess that the question forgot to put "assume a linear eqn "

- anonymous

lol , anyhow, did you understand what you have to do now bailey ? ^_^

- anonymous

because otherwise you would assume expxonential growth , but im assuming the asker hasnt done that yet :P

- anonymous

>_> :P

- anonymous

do you know what to do now bailey? :)

- anonymous

kind of (:

- anonymous

:) not convincing me here lol
Alright, did you find the equation from the previous question? :)

- anonymous

from this question i got y=x+12

- anonymous

:)

- anonymous

alright, now we said that x = represents the number of days right? and y =height, right?

- anonymous

yepp!

- anonymous

alright then, the question wants to know how many days would it take a plant to reach 12 inches right?
so in this case y = 12, all you'vegot to do is plug it in the equation and find x^_^

- anonymous

got it? :)

- anonymous

so to find x, what would i have to do, combine like trems? or no.

- anonymous

nope you have :
y = x + 12 where x = days and y = height = 12
12 = x + 12
x = 0....hmm there's something wrong, are you sure of your equation?

- anonymous

no :/

- anonymous

(14,6) ( 30,16)
m = (16-6) / (30-14) = (5/8)

- anonymous

m = y2-y1/x2-x1
m = (16-6)/(30 - 14)
m = 0.625

- anonymous

taake the first point

- anonymous

y-6 = (5/8) ( x-14)

- anonymous

so it's y=5/8x+12??????????

- anonymous

y= (5/8)x -(11/4)

- anonymous

now plug this in the following :
y - yo= m(x-xo) <-- choose any point:
y - 12 = 0.625(x-30)
y = 0.625x - 6.75

- anonymous

we are both wrong I think

- anonymous

that is your equation, now plug in the 12 inches to find the number of days :
12 = 0.625x - 6.75
0.625x = 18.75
x = 30
So it takes 30 days? .-. LOL there's something wrong >_

- anonymous

IKR i couldnt find the answer either

- anonymous

what are we missing o_o?

- anonymous

wait
I am right :P

- anonymous

IDK (: lol

- anonymous

y= (5/8)x -(11/4)

- anonymous

are you sure x = represents the number of days?, oh so my answer is true? LOL

- anonymous

^ thats right

- anonymous

same thing, but mine is in decimal lol, but wait 11/4?

- anonymous

12 = (5/8)x -11/4
(5/8)x = 14.75
x= (8/5) * 14.75 = 23.6 days

- anonymous

which makes sense, its half way between 14 and 30

- anonymous

about

- anonymous

oh right >_< I've put 12 insteadof 16, sorry sorry , thank you elec ^_^"

- anonymous

I always miss something o_o, my apologies ^_^

- anonymous

thanks darlings, your AMAZING (:

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