The Arizona legislature enacted a plan in 1990 that permits a fixed number

of new charter schools to open every three years. In 1990, there were 325

charter schools in the state. In 2014, the number had grown to 509.

a.

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) Is the growth of charter schools in Arizona over time

described to be linear growth or exponential growth? Explain, in

detail, how you know.

b.

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) If you answered "linear" for part a, calculate the slope AND

describe what this number means in the context of charter schools. If

you answered "exponential" for part a, calculate the rate AND

describe what this number means in the context of charter schools.

c.

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) If you answered "linear" for part a, rewrite the initial given

information so that it is demonstrating exponential growth. If you

answered "exponential" for part a, rewrite the initial given

information so that it is demonstrating linear growth. You can rewrite

it however you wish - feel free to include new information and/or

exclude old information.

d.

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) Using the new scenario you created for part c, solve the

following problem (and state the answer):

If the plan caps the number of charter schools in the state at 750, in

what year will this maximum be reached?

Rather than showing your work the way you would on paper, explain

your process for solving this problem so that another person in this

class could understand how you got your solution.

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) Lorenzo is hoping to purchase a 2017 Nissan Versa Note

hatchback, which has a sticker price of $19,899. The dealership has offered

Lorenzo a 72-month loan with an APR of 3.36%. Lorenzo has $5,700 he is

considering using as a down payment.

Would you recommend Lorenzo use his down payment? Thoroughly

explain your reasoning.

Your answer here must be supported by

NEW calculations

.

It is up to you to decide what calculations you

want to make to best support your answer

. Explain what calculations

you made, how you made those calculations, and why you believe

those calculations support your overall recommendation to Lorenzo.

There is no single "correct" way to approach this problem (there are

quite a few).

3.

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) Miranda's goal is to have $75,000 in her savings account 15

years from now. Her savings account has an APR of 2.34% compounded

monthly. She is considering making a one-time deposit into the account or

making regular, monthly deposits.

Would you recommend Miranda make one deposit up front or make

regular deposits? Thoroughly explain your reasoning.

Your answer

here must be supported by NEW calculations

.

It is up to you to

decide what calculations you want to make to best support your

answer

. Explain what calculations you made, how you made those

calculations, and why you believe those calculations support your

overall recommendation to Miranda. There is no single "correct" way

to approach this problem (there are quite a few).