Question

When a snake hatched 4 years ago, it was only 5 inches long. Suppose it is now 3 foot 9 inches long. Given that the annual percentage rate has been constant, what is the annual rate of growth for the snake?

Answer 1

Answer: 10 inches per year.

If the snake is now 3 foot 9 inches, we can add up how many inches that is by converting feet to inches. 1 foot=12 inches, so 3 feet is 36 inches. We then add the 9 inches.

36+9= 45

Since the snake had already accomplished being 5 inches at birth, we can subtract 5 from 45.

This gives us 40.

Since the snake was born 4 years ago we divide 40 by 4.

40÷4= 10

Answer 2

73.21% annual percentage rate.

Explanation:

3 foot 9 inches = 45 inches

45 = 5(1 + r)4

9 = (1 + r)4

91/4 = 1 + r

r = 0.73205

therefore,

r = 73.21%