SOLUTION: When Vlad moved to his new home a few years ago, there was a young oak tree in his backyard. He measured it once a year and found that it grew by 26 centimeters each year. 4.5 year

Algebra ->  Equations -> SOLUTION: When Vlad moved to his new home a few years ago, there was a young oak tree in his backyard. He measured it once a year and found that it grew by 26 centimeters each year. 4.5 year      Log On


   

Question 1063276: When Vlad moved to his new home a few years ago, there was a young oak tree in his backyard. He measured it once a year and found that it grew by 26 centimeters each year. 4.5 years after he moved into the house, the tree was 292 centimeters tall.
1) How tall was the tree when Vlad moved into the house?
2) How many years passed from the time Vlad moved in until the tree was 357 cm tall?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Starting from zero height, the equation would be
+h+=+26t+
+h+ = height in cm
+t+ = time in years
------------------------
+h+=+292+ cm
+292+=+26t+
+t+=+11.23+
+11.23+-+4.5+=+6.73+
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(1)
The tree had grown for 6.73 yrs before
Vlad moved into house
+h+=+26t+
+h+=+26%2A6.73+
+h+=+174.98+
It was 175 cm tall when he moved in
-------------------------------------
+h+=+26t+
+357+=+26t+
+t+=+13.73+ yrs
+13.73+-+6.73+=+7+
7 yrs after he moved in, the tree was 357 cm tall
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Definitely get a 2nd opinion on this
& check the math