The bear will be at 2^t meters from the starting line “t” seconds after the race begins.

Question

a) What time will the bear’s family see their hero if they stand at 100 meters? Write your answer

accurate to the hundredth place. Write an equation you could solve to answer this question

b) When will the bear be 1.41421 meters from the starting line?

Answer 1

s(t) = 2^t

100 = 2^t

t = 6.644 seconds to reach 100 meters

2^6.644 = 100

1.41421 = 2^t

t = 1/2 second to reach 1.41421 meters

2^(1/2) = the square root of 2 = 1.41421