RELATED RATE AND OPTIMIZATION PROBLEMS
PROBLEM 1:
PROBLEM 2:
QUESTION 1 (RELATED RATE PROBLEM): At what rate are Emily and Matthew separated at 11:00 am? Let's say: t: The length of time that Emily has traveled
OA: The distance that Emily has traveled at t hours: x = 5t BC: The distance that Matthew has traveled at t hours: 7 (t - 1) = 7t -7 r r r r r Differentiate both sides of the equation with respect to t
r = (74t r = (74 x 3 r = 16.16 km
Alternative solution to find the derivative r = (74t
QUESTION 2 (OPTIMIZATION PROBLEM): How many hours later Emily and Matthew will be closest? r = (74t 148t - 378 = 0 t = 2.55 for t = 2.55 r = (74t r = (74 x 2.55 r = 15.74 km (this is the closest distance they would have) |