Respuesta :
Answer:
2.4 years
Step-by-step explanation:
We are given the following in the question:
12 inch = 1 foot
Type A tree:
It 3 feet(36 inches) tall and grows at a rate of 15 inches per year.
Thus, the height of tree type A will be given by the equation:
[tex]h_1(x) = 36 + 15x[/tex]
where x is the number of years.
Type B tree:
It 4 feet(48 inches) tall and grows at a rate of 10 inches per year.
Thus, the height of tree type B will be given by the equation:
[tex]h_2(x) = 48 + 10x[/tex]
where x is the number of years.
Let the two tree have equal height after n years, Thus, we can write:
[tex]h_1(n) = h_2(n)\\36 + 15n = 48 + 10n\\5n = 48-36\\5n = 12\\n = 2.4[/tex]
Thus, after 2.4 years the two types of tree will have same height.
