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 let the variable 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?
{h=1+4th=0.5+6t
A system of equations. Row 1. h equals 1 plus 4 t. Row 2. h equals 0.5 plus 6t
{h=5th=6.5t
A system of equations. Row 1. h equals 5 t. Row 2. h equals 6.5 t
{h=4+th=6+0.5t
A system of equations. Row 1. h equals 4 plus t. Row 2.h equals 6 plus 0.5 t
{h=4−th=6−0.5t
h of birch = 4 + t
h of larch = 6 + t/2
4 + t = 6 + t/2o
times 2
8 + 2t = 12+t
t =
at t=4 , obviously h = 8 for both