There are 60 minutes in an hour. the total number of minutes is a function of the number of hours, as shown in the table. does this situation represent a linear or non-linear function, and why? hours vs. minutes hours 1, 2, 3, 4, 5 minutes 60, 120, 180, 240, 300 a. it represents a linear function because there is a constant rate of change. b. it represents a linear function because there is not a constant rate of change. c. it represents a non-linear function because there is a constant rate of change. d. it represents a non-linear function because there is not a constant rate of change.

If p(x) is the total value of the production when there are x workers in a plant, then the average productivity of the workforce at the plant is a(x) = p(x) x . (a) find a'(x). a'(x) = xp'(x) − p(x) x a'(x) = xp'(x) − p(x) x2 a'(x) = p'(x) − p(x) x a'(x) = xp'(x) − p'(x) x2 a'(x) = p'(x) − xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 ⇒ a(x) is ; that is, the average productivity as the size of the workforce increases. (b) if p'(x) is greater than the average productivity, which of the following must be true? p'(x) − xp(x) > 0 p'(x) − xp(x) < 0 xp'(x) − p'(x) > 0 xp'(x) − p(x) < 0 xp'(x) − p(x) > 0

The hockey team has been great! in 2008 they won 20% more games than in 2007. in 2009 they won 50% more games than in 2008. what was their overall percentage increase from 2007 through 2009?

What is the expression equivalent to (3x^2-7)