2014 · Q7
The height of a tree varies as the square root of its age (between 5 to 17 years). When the age of the tree is 9 years, its height is 4 feet. What will be the height of the tree at the age of 16 years?
Elementary MathematicsAlgebra
- A5 feet 4 inches
- B5 feet 5 inches
- C4 feet 4 inches
- D4 feet 5 inches
Explanation
h = k√(age); 4 = 3k gives k = 4/3. At 16 years: h = (4/3)·4 = 16/3 ft = 5 ft 4 in.