Flix Theatres allows movie goers to buy large commemorative popcorn buckets for $25 and then pay $1.50 per refill for the entire year. If you don’t have the bucket, a large popcorn costs $6.50. Find the number of popcorn orders that result in the same price for a bucket and refills AND popcorn orders without a bucket.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)