*The following problems were taken from the*

**ALGEBRA II (Common Core)**Regents Exam given on Friday, January 27, 2017.Previous problems can be found here

### Part 1

**21. Joelle has a credit card that has a 19.2% annual interest rate computations.
compounded monthly. She owes a total balance of B dollars after m
months. Assuming she makes no payments on her account, the table
below illustrates the balance she owes after m months.
**

*Over which interval of time is her average rate of change for the balance on her credit card account the greatest?*(4) *month 60 to month 73*

Look at the image below. Find the average rate of change by calculation (y_{1} - y_{2}) / (x_{1} - x_{2}).

**22. Which graph represents a cosine function with no horizontal shift, an amplitude of 2, and a period of 2/3 π ?
**

(3) *See below*

Choices (2) and (4) are out because they start at 0 (sine graphs). Graph (1) shows a function with a period of 2/9 π, as it repeats three 3 in the space of 2/3 π. Choice (3) shows a function that repeats 3 times in the space of 2π, so it has a period of 2/3π.

Continue to the next problems

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