Last spring,you brought a tree,and planted it in your front yard.When you planted it,the tree measured 3 feet in height.The tree is supposed to grow and additional 1.5 per year.
Write an equation to represent the height,h after y years.
Use your equation to find how tall the tree will be after 5 years.
write and solve an equation to find out how many years it will take for the tree to be over 400 feet tall.
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OpenStudy (anonymous):
@e.mccormick
OpenStudy (anonymous):
@iGreen
OpenStudy (anonymous):
@e.mccormick
OpenStudy (anonymous):
@bloofoffiction
OpenStudy (anonymous):
h= 1.5y+3
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OpenStudy (anonymous):
do you know why?
OpenStudy (anonymous):
because your trying to figure out the years for the 1.5 feet @bloofoffiction
OpenStudy (anonymous):
yes so it would be the number of years times 1.5 plus the original 3 feet,
OpenStudy (anonymous):
thats it. and to figure out how tall the tree would be in 5 years i would put h=5y+3
OpenStudy (anonymous):
@bloofoffiction
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OpenStudy (anonymous):
Correct!
OpenStudy (anonymous):
oh thank you @bloofoffiction
OpenStudy (anonymous):
but how do i solve it
OpenStudy (anonymous):
ok so you would multiply the number of years by 1.5, in this case 5
OpenStudy (anonymous):
what do you get?
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OpenStudy (anonymous):
7.5
OpenStudy (anonymous):
yes. Now add 3
OpenStudy (anonymous):
10.5
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
oh that was simple,haha stupid me
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OpenStudy (anonymous):
now for the last part. you already know the answer but you need to solve for the decimal. \[400= 1.5y+3\]
OpenStudy (anonymous):
you need to isolate the variable.
OpenStudy (anonymous):
do you mean 40
OpenStudy (anonymous):
up top it says 400
OpenStudy (anonymous):
oh srry i meant to put 40 @bloofoffiction
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OpenStudy (anonymous):
but i get the idea of what to do
OpenStudy (anonymous):
ok. so it would look like. \[40= 1.5y+3\]
OpenStudy (anonymous):
you need to make it so the only thing on the right side is the y variable.
OpenStudy (anonymous):
Do you know how to do that?
OpenStudy (anonymous):
so i would multiply 1.5 by 5 years add it by 3 and divide it by 40
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OpenStudy (anonymous):
or i +3 to the 40 and the answer would be divided by 1.5
OpenStudy (anonymous):
No, the five isn't included in this equation. Your trying to find the number of years.
OpenStudy (anonymous):
or i +3 to the 40 and the answer would be divided by 1.5
OpenStudy (anonymous):
|dw:1413932351139:dw|
OpenStudy (anonymous):
you need to get rid of the 3, by eliminating it on both sides.
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OpenStudy (anonymous):
oh ok and 37=1.5 is the answer
OpenStudy (anonymous):
not quite you need to isolate the y. It's not isolated yet, 1.5 is still attached.
OpenStudy (anonymous):
|dw:1413932526541:dw|
OpenStudy (anonymous):
divide both sides by 1.5 to isolate y
OpenStudy (anonymous):
oh ok thank you
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OpenStudy (anonymous):
what did you get as your answer?
OpenStudy (anonymous):
y=24.6
OpenStudy (anonymous):
@bloofoffiction
OpenStudy (anonymous):
yes, but it depends on if you have to round. technically it should be 24.7
OpenStudy (anonymous):
ok
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OpenStudy (anonymous):
thank you so much @bloofoffiction
OpenStudy (anonymous):
no problem! anything else?
OpenStudy (anonymous):
no not for now
OpenStudy (anonymous):
Quick question, what math level is this?
OpenStudy (anonymous):
theres honors,intro to algebra,and advanced
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OpenStudy (anonymous):
last year i was in advanced but now this year im in intro to algebra @bloofoffiction
OpenStudy (anonymous):
Ok, just wondering, because I covered this not to long ago. I;m in algebra as well