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Exponential Functions and Growth Models, Study notes of Elementary Mathematics

Louisiana State University (LSU) - ShreveportElementary Mathematics

Instructions and examples for writing and applying exponential functions, recognizing equations from sets of points, and creating and solving doubling time and half life equations. It also includes exercises for determining solutions to functions and writing equations for savings accounts.

Typology: Study notes

2021/2022

Uploaded on 09/12/2022

tiuw
tiuw 🇺🇸

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November 12, 2014
Objectives:
to write and apply exponential functions from two points
to recognize an equation from a set of points
create and solve doubling time and half life equations
1) Write an exponential function y = ab x whose
graph passes through (1,12) and (3, 108).
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Download Exponential Functions and Growth Models and more Study notes Elementary Mathematics in PDF only on Docsity!

Objectives: to write and apply exponential functions from two points to recognize an equation from a set of points create and solve doubling time and half life equations

1) Write an exponential function y = ab

x

whose

graph passes through (1,12) and (3, 108).

2) Write an exponential function y = ab

x

whose

graph passes through(3,0.5) and (-4,64).

Determine which ordered pairs are solutions to the given function.

A) (0, -3) B) (2, -0.75) C) (-1, 6) D) (-2, -12)

  1. For your 16th birthday, you received $ from your grandparents. (You have very nice grandparents.) You plan to deposit this gift in your savings account that earns 5% interest compounded annually. Write an equation in standard exponential form for the amount in your account after x years. How many years will take to double your money? How much money will be in your account on your 18th birthday given no deposits or withdrawals are made? If your goal is to save this money to purchase a used car and the car you have in mind costs $5210.99, how long will it take to have enough money to make the purchase?
  1. Suppose you have $475 invested in a bank. Your bank advisor tells you to expect your money to double in about twelve years.

When could you expect your bank balance to be $1000 if neither

deposits nor withdrawals are made?

Write an exponential equation to model the situation described. Find the balance of your account after 3.5 years.

  1. A doctor's office did an audit on its paper usage. In an effort to help the environment and reduce overhead cost, the office wants to cut the amount of paper usage in half over the next three years. They currently use 2250 reams of paper per year. Write an exponential equation to model the situation described.

How long will it take for the office staff to reduce their paper

usage to 2000 reams per year?

If the audit was completed in 2013 and the company could realistically continue cutting their paper usage in half every three years, how much paper will they be using in 2021.