a sapling, or young tree, is planted in a garden. after 3 years, it is 180 cm tall. After 7 years, it is 368 cm tall. How tall will the tree be after 10 years?
The growth of the tree is modelled by the equation h - 180 = (368 - 180)/(7 - 3) (t - 3) h - 180 = 47(t - 3) h = 47t - 141 + 180 h(t) = 47t + 39; where h(t) is the height of the tree in centimeters after t years.
Therefore, after 10 years, h(t) = 47(10) + 39 = 470 + 39 = 509 cm
