Find pairs of expressions that are equal. Be prepared to explain how you know.
Write an expression that is equal to using a single exponent.
Without evaluating the expressions, explain why is equal to .
17.2
Activity
How Many Times per Year?
Complete the table.
If something happens ,
it happens times a year.
it happens every months.
annually
semiannually
quarterly
monthly
A gym membership has an annual fee, billed monthly. Find the amount of each bill if the annual fee in dollars is:
360
540
An educational foundation gives an annual scholarship, distributed semiannually. Find the amount of each distribution if the annual scholarship amount in dollars is:
1,800
5,000
A magazine subscription has an annual price, billed quarterly. Find the amount of each bill if the annual price in dollars is:
48
80
17.3
Activity
Your Problems Are Compounded
Match each item in the first column to a representation in the second column. Be prepared to explain your reasoning.
A worker sets aside $6,000 per year for their retirement fund by saving the same amount monthly.
A business’s revenue increases by 20% per quarter. This happens for 2 years. Initially, their quarterly revenue was $6,000.
A man borrows $6,000 from his sister. He will reduce the amount he owes in 1 year by paying her back quarterly.
A business’s revenue decreases by 20% semiannually. This happens for 3 years. Initially, their quarterly revenue was $6,000.
The number of subscribers to a website triples quarterly for 2 years. Initially there were 6 subscribers.
The number of likes on a post was 6, and then for the next 2 years, the number of likes doubled monthly.
0
1
2
3
4
5
6,000
7,200
8,640
10,368
12,442
14,930
0
1
2
3
4
5
6,000
4,800
3,840
3,072
2,457.6
1,966.1
Glossary
None
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