In Mr. Johnson’s classes, 30% of the students scored a 95 on a quiz. Let be the total number of students in Mr. Johnson’s classes. If 15 students scored a 95, write an equation involving that relates the number of students who scored a 95 to the total number of students in Mr. Johnson’s classes. *

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?

An is a number that is written without a component. it is a number that is either or . an exponent is a or a number that another number is being to. the number that is being raised to a is called the . the or power tells you how many times to the base by . if an exponent is fractional then ask yourself the question: what when multiplied by itself a certain number of times will equal the number?

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