Task 1 Table, Equation, and Evaluate
Mo takes potato salad with her when she goes camping but doesn’t pack it in a cooler. When she sits down to eat, it has been at 75 ⁰F for 6 hours. At that warmer temperature the bacteria Salmonella in the potato salad reproduces quickly, with an exponential growth rate of 8.
Make a table of values.
Hours
0
1
2
3
4
5
6
Bacteria Count
1
What is the initial value of the bacteria count?
What is the growth rate?
Write the exponential equation that models this story
Evaluate - what is the Bacterial Count for Mo’s potato salad after 6 hours?
Task 2 Graph
Graph your equation from Task 1d. Your graph must be on Desmos and must include
Labels for your x and y axis
An x and y axis range that allows the data from the table to be shown in the graph
The bacterial count at 6 hours marked and labeled
Task 1:
Initial value of the bacteria count: 1
Growth rate: 8
Exponential equation: Bacteria count = 1 * 8^x, where x represents the number of hours
Evaluation: The bacterial count for Mo's potato salad after 6 hours can be found by substituting x = 6 into the equation:
Bacteria count = 1 * 8^6 = 1 * 262,144 = 262,144
Therefore, the bacterial count for Mo's potato salad after 6 hours is 262,144.
Task 2:
Please refer to the graph on Desmos for the visualization of the exponential growth of the bacteria count over time.