Sophia College Algebra Milestone 5. WITH RATIONALE UPDATED 2022
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Course
Sophia College Algebra Milestone 5.
Institution
Sophia College Algebra Milestone 5.
Sophia College Algebra Milestone 5.
Score 19/22
You passed this Milestone
19 questions were answered correctly.
3UquNestiIonTs we5re a—nswerMed inIcLorrEectSly.TONE 5
Susan monitors the number of strep infections reported in a certain neighborhood in a given wee...
sophia college algebra milestone 5 score 1922 you passed this milestone 19 questions were answered correctly 3uqunestiionts we5re a—nswermed iniclorreectslytone 5 susan monitors the
3/2/2021Sophia :: Welcome
https://snhu.sophia.org/spcc/college-algebra-3/milestone_take_feedbacks/81010341/28
1Sophia College Algebra Milestone 5.
Score 19/22
You passed this Milestone
19 questions were answered correctly.
3UquNestiIonTs we5re a—nswerMed inIcLorrEectSly.TONE 5
Susan monitors the number of strep infections reported in a certain neighborhood in a given week. The recent
numbers are shown in this table:
Week Number of People
020
126
234
344
According to her reports, the reported infections are growing at a rate of 30%.
If the number of infections continues to grow exponentially, what will the number of infections be in week 10?
203 people
206 people
276 people 3/2/2021Sophia :: Welcome
https://snhu.sophia.org/spcc/college-algebra-3/milestone_take_feedbacks/81010342/28297 people 3/2/2021Sophia :: Welcome
https://snhu.sophia.org/spcc/college-algebra-3/milestone_take_feedbacks/81010343/28RATIONALE
In general, exponential growth is modeled using this equation. We will use information from the problem to find values to plug into this equation.
The initial number of infections is , so this is the value for
a. The infection rate is ,
so this is our value forb (remember to write it as a decimal). We want to know how many
infections there will be in week 10, so we will use for the value forx. We will need to
solve for
y. Start by simplifying what's inside the parentheses. 1 plus is . Next, take this value to the power of . to the power of is. Finally, multiply this by.
CONCEPTThere will be 276 people infected in week 10.
Exponential Growth
2
Suppose and .
Find the value of .
RATIONALE
To evaluate this composite function, focus on the innermost function first. Evaluate 3/2/2021Sophia :: Welcome
https://snhu.sophia.org/spcc/college-algebra-3/milestone_take_feedbacks/81010344/28first by plugging in for the variablex in the function .
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