Question

You run 4 miles. Rob ran half as far as you. Tim ran half as far as Rob. Nicole ran half as far as Tim. a. Write as expression for how Nicole ran. b. How far did Nicole run?

Answer 1

a.
You run 4 miles: 4
Rob ran half as far as you: 0.5 * 4
Tim ran half as far as Rob: 0.5 * (0.5 * 4)
Nicole ran half as far as Tim: 0.5 * (0.5 * (0.5 * 4)))

Nicole ran 0.5 * 0.5 * 0.5 * 4 = (0.5)^3 * 4

b.
(0.5)^3 * 4 = 0.125 * 4 = 0.5

Nicole ran 0.5 mile.

Answer 2

Well, since you ran 4 miles, and Rob ran half as far, Rob ran 2 miles. Since Tim ran half as far as Rob, Tim ran 1 mile. Since Nicole ran half as far as Tim, Nicole ran 1/2 of a mile.
A. The expression is y=4/(2^x-1)
B. Nicole ran 1/2 of a mile.
Hope this helps!
-Raiden