The Height H, in Feet, of a Certain Tree Increases

Multiple Choice

The height h, in feet, of a certain tree increases at a rate that is inversely proportional to time t, in years. The height of the tree is 8 feet at the end of 3 years, and reaches 23 feet at the end of 6 years. Write a differential equation describing the rate of change of the height of the tree, where k is the constant of proportionality (to be determined) .

A) feet per year
B) feet per year
C) feet per year
D) feet per year
E) feet per year