Which of the following best describes how the y values are changing over each interval?

x y
1 2
2 4
3 8
4 16
5 32

a) they are increasing by 2 each time.
b) they are increasing by 4 each time.
c) they are being multiplied by 2 each time.
d) they are being multiplied by 4 each time.

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:

Mrs. avila is buying a wallpaper border to go on all of her kitchen walls. she wants to buy 5 extra feet of wallpaper border than she needs to be sure she has enough. she buys 55.5 feet of the border. the store owner selling the border uses the width of mrs. avila's kitchen to determine that the length of her kitchen must be 14.5 feet.

Use the quadratic function to predict f(x) if x equals 8. f(x) = 25x2 − 28x + 585