Application Problems

Each of the problems below is a link. If you click on the problem, it will take you to a YouTube video of a full, step-by-step solution for the problem. You may try these problems as practice and use the videos to check your answer, or you can just watch the videos to see more worked-out example problems.

For a pole-vaulter in training, the learning curve is given by P of t = 20 minus 14e to the negative 0.024t, where P of t is the height she is able to pole-vault after t months. How high should she be able to vault after three months of training? After how many months is she able to vault 12 ft?
Height and atmospheric pressure on Earth are governed by the formula h = negative 7 l n left paren P over 100 right paren, where h is measured in kilometers and P is measured in kilopascals. Find the height where the atmospheric pressure is 80 kilopascals. Find the pressure at a height of 4 kilometers.