Creating and Graphing Exponential Equations Part 2 ~Adapted from Walch Education.

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Creating and Graphing Exponential Equations Part 2 ~Adapted from Walch Education

Graphing Exponential Equations Using a Table of Values: 1.Create a table of values by choosing x-values and substituting them in and solving for y. 2.Determine the labels by reading the context. The x-axis will most likely be time and the y-axis will be the units of the final value. 3.Determine the scales. The scale on the y-axis will need to be large since the values will grow or decline quickly. The value on the x-axis needs to be large enough to show the growth rate or the decay rate.

Practice # 1 The bacteria Streptococcus lactis doubles every 26 minutes in milk. If a container of milk contains 4 bacteria, write an equation that models this scenario and then graph the equation.

Initial bacteria count = 4 Base = 2 Time period = 26 minutes Since the base is repeating in units other than 1, use the equation where t = 26. Using Substitution: Identify the known quantities:

Let’s Create a Table of Values xy

Setup the coordinate plane

Plot the points on the coordinate plane and connect the points with a curve.

An investment of $500 is compounded monthly at a rate of 3%. What is the equation that models this situation? Graph the equation. Try to solve this one:

Thanks for Watching!!! ~ Dr. Dambreville