Respuesta :
Answer:
After 1 year, both the tress will be of the same height.
Step-by-step explanation:
Let us assume in x years, both trees  have same height.
Type A Â is 7 feet tall and grows at a rate of 8 inches per year.
⇒The growth of tree A in x years = x times  ( Height growth each year)
                            = 8 (x)  = 8 x
⇒Actual height of tree A in x years  = Initial Height + Growth in x years
                               = 7 + 8 x
or, the height of tree A after  x years  = 7 + 8x
Type B is 9 feet tall and grows at a rate of 6 inches per year.
⇒The growth of tree B in x years = x times  ( Height growth each year)
                            = 6 (x)  = 6 x
⇒Actual height of tree B in x years  = Initial Height + Growth in x years
                               = 9 + 6 x
or, the height of tree B after  x years  = 9 + 6x
According to the question:
After x years, Height of tree A Â =Height of tree B
⇒7 + 8x  = 9 + 6x
or, 8x - 6x = 9 - 7
or, 2 x  = 2
or, x  =  2/2  = 1   ⇒ x  = 1
Hence, after 1 year, both the tress will be of the same height.
