Suppose you stand in a hole and use a sling to launch a stone straight up. The stone starts with a velocity of 53 feet per second. It leaves
the sling 29 feet below ground level.
Write height (y feet) as a function of time (x seconds)
x f(x)
x x
Х
0 (x) x 2
TT
Read the following question, then decide which strategy you will use.
Plug in x to find y
Plug in y to find x
Vertex, x coordinate: use
-b
2a
Vertex, y coordinate: use
-b
2a
and then 'plug in
What is the maximum height that the stone will reach? (nearest
hundredth)
label optional

Sum of the interior angles of a pentagon

Milk and ice cream are mixed together for a recipe. the total volume of the mixture is 1 cup. if the milk contains 2% fat, the cream contains 18% fat ,and the mixture contains 6% fat ,how much cream is in the mixture

The biologist has a second culture to examine. she knows that the population of the culture doubles every 15 minutes. after 1 hour and 15 minutes, her assistant found that 80,000 bacteria were present. a) what was the size of the initial population? b) predict the size of the culture at t=3 hours. what was the size of the population at 40 minutes? explain and justify your answers. c) create a graph of the population as a function of time. find an equation that can be used to predict the size of the population at any time t. d) examine the rate at which the bacteria culture is growing. how fast is the culture growing after 1 hour? after 1.5 hours? after 2 hours? use a time interval of h = 0.01 hours to estimate these rates. interpret these rates in terms of the context of the problem situation. how do these three rates compare?