Concept explainers
a.
To write: a function for the number of spores S(t) after t inspections.
a.
Answer to Problem 15CR
Explanation of Solution
Given: There were originally 460 spores in a petri dish. After each inspection, there were 10% fewer spores.
Calculation:
Use the exponential decay equation,
b.
To Calculate: The number of spores were in the petri dish after 4 inspection.
b.
Answer to Problem 15CR
302 spores were in the petri dish after 4 inspection.
Explanation of Solution
Given: There were originally 460 spores in a petri dish. After each inspection , there were 10% fewer spores.
Calculation:
Substitute t= 4 into the function.
Round the answer to the nearest whole number since the number of spore must be a whole number.
So, 302 spores were in the petri dish after 4 inspection.
c.
To identify: The correct mathematical practice to be used to solve problem?
c.
Answer to Problem 15CR
Reason abstractly and quantitatively.
Explanation of Solution
Given: There were originally 460 spores in a petri dish. After each inspection, there were 10% fewer spores.
Calculation:
The mathematical practice used to solve this problem was “Reason abstractly and quantitatively” since it was a word problem.
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Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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