Question

Kiran is about to start hiking on a trail that is 1.8 miles long. In his past hikes on the same trail, he had walked at a constant rate of 2.4 miles an hour, which is 0.04 mile a minute. Function (F) represents Kiran's remaining distance on the trail, in miles, t, minutes after he starts walking. Write an equation to represent this function. Use function notation.

Answer 1

F(t) = 1.8 - 0.04t

Explanation:

Given that :

Length of trail = 1.8m

Walking speed = 0.04 miles per minute

Distance left, t minutes after one statues walking :

Total distance covered after t minutes = speed * time = 0.04t

Distance left after t minutes :

Initial distance - distance covered

Hence,

F(t) = 1.8 - 0.04t