Agardener is planting two types of trees: type a is 3 feet tall and grows at a rate of 18 inches per year. type b is 4 feet tall and grows at a rate of 10 inches per year. algebraically determine exactly how many years it will take for these trees to be the same height.

Both type of trees will be of equal height after 1.5 years.

Step-by-step explanation:

Let both type (type A and type B) of trees will be of exactly same height after x years.

Type A trees are 3 feet or 36 inches tall and growing at the rate of 18 inches per year.

So the height of type A trees after x years will be = (18x + 36) inches.

Type B trees are 4 feet or 48 inches tall and growing at a rate = 10 inches per year

The height of type B trees after x years = (10x + 48) inches

Since after x years both type of trees are of the same height

Therefore, (18x + 36) = (10x + 48)

18x - 10x = 48 - 36

8x = 12

x =

x = 1.5 years