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?

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.