Do now A. n 5 n 7 n 12 n Add exponents. B. e 12 e 8 Subtract exponents. e 12 – 8 e 4

Saving Money

Jacob’s grandparents started saving for his college fund. They put $5,000 in a cookie jar when he was born. They added $50 every year on his birthday to the cookie jar. Jacob’s parents started saving for his college fund. They put $4,500 in a savings certificate at a bank that earned 2% annual interest when he was born. They did not add any money to the certificate.

1. Before you do any calculations, guess whether Jacob will have more money in the cookie jar or in the bank by his 18th birthday. 2. Explain the reasoning you used to that choice.

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3. Complete the table to show how much is in Jacob’s grandparent s’ cookie jar on his 18th birthday.

4. Find a function that Jacob can use to determine the amount in his cookie jar as a function of his age. Try a linear function g(x)=mx+b find m and b g(x) = x Check the numbers in the table to see if this formula works!

5. Complete the table to show how much is in Jacob’s college fund on his 18th birthday.

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5. Complete the table to show how much is in Jacob’s college fund on his 18th birthday.

6. Find a function that Jacob can use to determine the amount in his cookie jar as a function of his age.. p(x) = 4500(1.02) x

7. By his 18th birthday, did Jacob have more money in the cookie jar or in the bank? savings account

8. Which savings grew faster, the cookie jar or the bank account? The savings account

9. Explain the reasoning you used to that choice on question 8. The money in the cookie jar grows at a constant rate of $50 each year. The savings account grew $90 the first year, and by the last year grew $126.

Work on Compare Exponential Expressions package

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