a.
Write the function for the number of bacteria after 1:00 p.m.
Given information:
The exponential function
At
Concept Used:
Substitute the value of a
Calculation:
As per the given problem
Note that for this problem the starting population
Now the working equation for this problem,
Conclusion:
Hence, the equation is
b.
Graph the function
The graph is in the solution
Given:
The exponential function
At
Concept Used:
Draw the graph Substitute the value of a
.Graph:
Conclusion:
Hence, the graph is above in the solution.
c.
Write the population at 5:00 P.M.
Given:
The exponential function
Concept Used:
Substitute the value of a
Calculation:
As per the given problem
Note that for 5:00 P.M that would be
Now the working equation for this problem,
Conclusion:
Hence, the population at 5:00 pm
d.
How to find the population at 3:45 P.M.
Given:
The exponential function
Concept Used:
Substitute the value of a
Calculation:
As per the given problem
Note that for 5:00 P.M that would be
Now the working equation for this problem,
Graph the function
Now to find the population at
For the equation, time needs to be in hours so this would convert to
Now plug it in and do the math or a less
Conclusion:
To find the population at 3:45 pm read answer above.
Chapter 4 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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