SOLUTION: A pine tree is currently 9 feet tall and grows 6 inches every year. You plant a new variety of tree next to it that is 16 inches tall and grows 14 inches a year. When will the two

Question 989322: A pine tree is currently 9 feet tall and grows
6 inches every year. You plant a new variety of tree next to it that is 16 inches tall and grows 14 inches a year. When will the two trees be equal in height, and how tall will they be? Round the values to the nearest tenth.
Found 2 solutions by ankor@dixie-net.com, macston:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A pine tree is currently 9 feet tall and grows 6 inches every year.
You plant a new variety of tree next to it that is 16 inches tall and grows 14 inches a year.
When will the two trees be equal in height, and how tall will they be?
Round the values to the nearest tenth.
:
let t = no. of years after planting the 2nd tree they will be equal in height
:
Change 9 ft to inches: 9 * 12 = 108 inches
14t + 16 = 6t + 108
14t - 6t = 108 - 16
8t = 92
t = 92/8
t = 11.5 yrs, they will be equal height
and
14(11.5) + 16 = 177 inches high
check this with 1st tree
6(11.5) + 108 = 177 inches
:
That would be 14 ft 9 inches high
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
(9ft)(12in/ft)=108in The first tree is 108 inches tall.
.
y=years of growth
108in+(6in/yr)(y)=16in+(14in/yr)(y)
92in=(8in/yr)(y)
(92in)/(8in/yr)=y
11.5yrs=y
ANSWER: The trees will be the same height in 11.5 years.
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