The formula for the area of a square, where the side length is the independent variable and the area is the dependent variable, is a function, because the points of the function on a straight line. the formula for the perimeter of a square, where the side length is the independent variable and the perimeter is the dependent variable, is a function, because the points of the function on a straight line.

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?

Which graph correctly shows the solution of the compound inequality 4x < 16 or 11x > 121? -2 0 2 4 6 8 10 12 14 10 -2 0 2 4 6 8 10 12 14 lll0 -2 0 2 4 6 8 10 12 14 -2 0 2 4 6 8 10 12 14

Naomi draws a portion of a figure as shown she wants to construct a line segment through r that makes the same angle with qr as pq what figure shows the next step to construct a congruent angle at r