Lesson 6 Practice Problems 1. Han creates a scatter plot that displays the relationship between the number of items sold, x, and the total revenue, y, in dollars. Han creates a line of best fit and finds that the residual for the point (12, 1,000) is 75. The point (13,930) has a residual of -40. Interpret the meaning of -40 in the context of the problem.

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)