Vickie, a factory worker, needs 1/5 hour to install brake pads on each car. Her shift lasts for 8 1/2 hours and she has worked 3 hours so far. How many brake pad installations can Vickie complete in the remainder of her shift? Solve the inequality 1/5 b + 3 < 8 1/2 to determine the answer to the word problem. Explain the meaning of your final answer.

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below: