Mary's dog was placed on a strict diet by her veterinarian. The veterinarian told Mary that Emma would need to loose one-half of pound per month. Write an equation that relates Emma's weight in pounds (p) to the number of months (m) that she is dieting, given that Emma currently weighs 38 pounds. 1. What is the beginning weight or b or the y-intercept?

2. What is the rate of change or slope or m?

3. Replace those two values in slope-intercept form y=mx+ b

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 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)