IM Alg2.4.15 Practice: Using Graphs and Logarithms to Solve Problems (Part 1)
The equation represents a bacteria population as a function of time in hours. Here is a graph of the function .
Use the graph to determine when the population will reach 100,000.
Explain why also tells us when the population will reach 100,000.
Population growth in the U.S. between 1800 and 1850, in millions, can be represented by the function , defined by . What was the U.S. population in 1800?
Use graphing technology below to graph the equations and . Adjust the graphing window to the following boundaries: and .
What is the point of intersection of the two graphs, and what does it mean in this situation?
What value of b makes each equation true?
Put the following expressions in order, from least to greatest.
Solve . Show your reasoning.
Explain why is greater than 1 but is less than 2.