Direct, Inverse, and Joint Variation Answers

Imagine that you have a babysitting job, where the amount you earn is directly proportional to the number of hours you work. What would the constant of proportionality, k, represent in this situation?

For the direct variation function y = kx (where k > 0), as the value of x increases, the value of y ? .

Which of the following functions is most likely to have the smallest value for y if x is large? (Assume k is positive.)

For the inverse variation function y = k/x (where x, k > 0), what happens to the value of y as the value of x increases?

If 3 workers can paint a room in 2 hours, then approximately how long does it take 4 workers to paint the same room? Assume the time needed to paint the room is inversely proportional to the number of workers.