Question

A gardener is planting two types of trees:

Type A is 4 feet tall and grows at a rate of 11 inches per year,
Type B is 3 feet tall and grows at a rate of 15 inches per year.
Algebraically determine exactly how many years it will take for these trees to be the
same height​

Answer 1

4 Feet= 48 inches
3 Feet= 36 inches

Type A equation: H= 11y + 48

Type B equation: H= 15y + 36


Set Both Equations Equal to each other:

Type A = Type B

11y + 48 = 15y + 36

Solve For Y:

11y + 12 = 15y

-4y + 12 = 0

-4y = -12

Y = 3 years

It will take 3 years for the trees to be the same height.



Hope this helps!