A botanist is studying the growth rates of live oaks. He wants to know the rates at which the height and...?

Question

A botanist is studying the growth rates of live oaks. He wants to know the rates at which the height and circumference increase. He knows that the height typically increases 16 times as fast as the circumference. He measures a 10-year-old live oak and finds that: height + circumference = 255in. Find the growth rates, in inches per year, for the height and circumference.

A. height: 30 in./yr; circumference: 1.5 in./yr

B. height: 24 in./yr; circumference: 1.5 in./yr

C. height: 24 in./yr; circumference: 2.5 in./yr

D. height: 30 in./yr; circumference: 2.5 in./yr

Answer 1

B. height: 24 in./yr; circumference: 1.5 in./yr

1.5 x 16 = 24

(24 x10) + (1.5 x 10) = 255