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
Written for
Sophia College Algebra Unit 5 Challenge 3
All documents for this subject (17)
Seller
Follow
magdamwikash23
Reviews received
Content preview
3/2/202 Sophia ::
1 Welcome
Sophia College Algebra Milestone 5.
Score 19/22
You passed this Milestone
19 questions were answered correctly.
31
UquNestiIonTs 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
0 20
1 26
2 34
3 44
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?
,3/2/202 Sophia ::
1 Welcome
RATIONALE
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 for b (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 x. We will need to
for
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 .
There will be 276 people infected in week 10.
CONCEPT
Exponential Growth
2
Suppose and .
Find the value of .
RATIONALE
To evaluate this composite function, focus on the innermost function first. Evaluate
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller magdamwikash23. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $13.84. You're not tied to anything after your purchase.
