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A birch tree that is 4 ft tall grows at a rate of 1 ft per year. A larch tree that is 6 ft tall grows at a rate of 0.5 ft per year.

Let the variable t represent time in years and h represent height in feet. In how many years will the trees be the same height?


Which system of equations can be used to solve this problem?


A.{h=4-t

{h=6-0.5t


B.{h=5t

{h=6.5t


C.{h=1+4t

{h=0.5+6t


D.{h=4+t

{h=6+0.5t

Verified Answer :

after 4 years 4+x=6+1/2x

Answer:

The system of equations that can be used to solve this problem is D.{h=4+t

{h=6+0.5t

Step-step Explanation:

Given that,

  • A birch tree that is 4 ft tall grows at a rate of 1 ft per year.
  • A larch tree that is 6 ft tall grows at a rate of 0.5 ft per year.
  • Let the variable t represent time in years and h represent height in feet.

  • The calculations is as follows:

after 4 years

The equation should be

4+x=6+0.5x

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