Math Project
The objective of this project is to use exponential functions to model and predict future values of increase or decrease using Microsoft PowerPoint or Prezi. 1. City Population – Choose any city in the world that you would like to live in. • Part I (5 points): Create a collage slide of 1 to 3 pictures that best models the city of your choice. o Your slide must contain the following information – State or country and three facts about the city. Appropriate citation is required based on the source of your information. o Give the current city population of the city you chose and the rate at which the population increases or decreases every year as a percent. Appropriate citation is required based on the source of your information. • Part II (10 points): Formulate an exponential function 𝑃(𝑡) that will predict the population at any time t years after the current year of today. o You must calculate and interpret 𝑃(7) in a complete sentence. 2. Vehicle Investment – Choose any vehicle that you would like to own. Assume that you purchased the vehicle today. • Part I (5 points): Create a collage slide of 1 to 3 pictures that best models the vehicle of your choice. o You slide must contain the following information – Make, model, year, and specifications. Appropriate citation is required based on the source of your information. o Give the price of the vehicle in US dollars and the rate at which the vehicle depreciates every year as a percent. Appropriate citation is required based on the source of your information. • Part II (10 points): Formulate an exponential function 𝐶(𝑡) that will predict the cost of the car at any time t years after it is purchased. o You must find and interpret 𝐶(7) in a complete sentence. 3. Savings Account – Choose any bank that you would like to open a savings account with. Assume that you open the account with the bank of your choice today. • Part I (5 points): Create a collage slide of 1 to 3 pictures that best models the bank of your choice. o Your slide must include the following information – Name of the Bank, year it was first established, and the services it offers, and the minimum amount required to open any checking or savings account. Appropriate citation is required based on the source of your information. • Part II (10 points): Create a slide of that contains the following information. o The amount you will initially deposit in your savings account is your birthyear in US dollars. (For example, if you were born in 1981, then your initial deposit will be $1,981.) o The interest rate is based on the day you were born on and will be compounded monthly where n = 12. Use the following statements below to determine which annual percentage rate (APR) you will use. ▪ If you were born on any day from the 1st – 9th, then you will use an APR of 1.1%. ▪ If you were born on any day from the 10th – 19th, then you will use an APR of 1.5%. ▪ If you were born on any day from the 20th – 29th, then you will use an APR of 1.25%. ▪ • If you were born on the 30th or 31st, then you will use an APR of 1.125%. Part II (10 points): Formulate an exponential function 𝐴(𝑡) that will predict the amount in the savings account t years after the current year from today. o You must calculate and interpret 𝐴(7) in a complete sentence. 4. Career Choice – Choose any career field you like to go into. Assume that you started the job today and you receive a 5% raise each year. • Part I (5 points): Create a collage slide of 1 to 3 pictures that best models your career choice. o Your slide must include the following information – Name of your career, name of your corporation or business you would like to work for, and reasons for your career choice. o Give the current annual salary of your career or job choice in US dollars. Appropriate citation is required based on the source of your information. • Part II (10 points): Formulate an exponential function 𝑀(𝑡) that will predict the amount of your annual salary t years after the current year of today. o You must calculate and interpret 𝑀(7) in a complete sentence.
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