Question

A tree that is 3 feet tall is growing at a rate of 1 ft per year. A 5 ft tree is growing at a rate of 0.75 ft per year.

The ordered pair (t, h)(t, h) represents the time, t, at height, h.

Which ordered pair represents the year when the trees will be the same height?

Answer 1

it will be at (8,11).

Answer 2

The given can be represented by equations
A tree that is 3 feet tall is growing at a rate of 1 ft per year
h = t + 3
A 5 ft tree is growing at a rate of 0.75 ft per year
h = 0.75t + 5
Equating the two equations
t + 3 = 0.75t + 5
t = 8 yrs
h = 8 + 3
h = 11 ft
(8,11)