Question

Type A is 8 feet tall and grows at a rate of 6 inches per year.

Type B is 2 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

The required time is 8 years.

Explanation:

Let, it will take x years to be of same height for these trees.

We know that 1 ft = 12 inches.

8 ft =
`12*8 = 96 inch`. 2 ft = 24 inch.

After x years, the height of type A will be (96 + 6x) inch and the height of type B will be (24 + 15x) inch.

We need find the value of x, for which 96 + 6x = 24 + 15x or, 9x = 72 or, x = 8.