Unit 4 Lesson 15

The equation  $p\left(h\right)=5,000\cdot2^h$  represents a bacteria population as a function of time in hours. Here is a graph of the function  $p.$  Use the graph to determine when the population will reach 100,000.

• 4 hours

• 4.4 hours

• 4.8 hours

• 5.2 hours

The equation  $p\left(h\right)=5,000\cdot2^h$  represents a bacteria population as a function of time in hours. Here is a graph of the function  $p.$  Explain why  $\log_220$  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 $f,$  defined by  $f\left(t\right)=5\cdot e^{\left(0.028t\right)}$  What was the U.S. population in 1800?

Population growth in the U.S. between 1800 and 1850, in millions, can be represented by the function $f,$  defined by  $f\left(t\right)=5\cdot e^{\left(0.028t\right)}.$  On the graph,  $f\left(t\right)$  and  $y=20$  has been graphed. What is the point of intersection of the two graphs, and what does it mean in this situation?

What value of $b$  makes the equation true?

What value of $b$ makes the equation true?

What value of $b$ makes the equation true?