Question

1. Exponential Functiona. On the Internet find two applications for this type of function. Clearly define the variables in the relationship.b. Cite your sources and clearly justify why this model is a good fit by referring to key features of this function that relate well to each real application.c. Interpret the growth and decay factor, as well as the initial amount.d. Your justification should also include reference to at least two of graphical, numeric, and/or algebraic models.e. Accurately describe the differences these real models have compared to the base function y=bx.

Answer 1

Step-by-step explanation:

a) There are many kinds of relations. Among the most important algebric relations are functions. A function is a relation in which one variable specifies a single value of another variable.

For example:

When you toss a ball, each second that passes has one and only one corresponding height. time only get forward and never repeat itself. The height of ball depend upon how much time has passed since it left your hand. This is a way of relationship although each moment of time is unique, it is possible for the ball to be at a particular height more than once as it goes up and then down. Knowing the time will tell you the height, but knowing the height will not give the exact time.

b) There are two sources effectively

i) Using Primary source:

Some types of research paper must use primary source extensively to achieve their purpose. Any paper that analyzes a primary text or presents the write's own experimental research falls in this category

ii) Secondary sources:

For some assignment it makes sense to rely more on secondary sources than primary sources. If you are not analyzing a text or conducting your own field research you will need to use secondary sources extensively.

c) When working with exponential equation you may run into a question that wants the resulting equation restarted in relation to a different time reference.

Such question do not want to change the condition of the problem. Instead this question simply want an equivalent form of the existing equation.

For example,

The population increases yearly at a constant rate. In one year the population increases from 600 to 680. Find the yearly growth rate and express the yearly growth factor.

Solution:

The yearly growth rate is the % of increase

`\begin{gathered} 680-600=80 \\ \\ (80)/(600)*100=13\%\text{ }per\text{ }year \end{gathered}`

The yearly growth factor is (1 + growth rate)

`yearly\text{ }growth\text{ }factor=1+r=1+0.133=1.133`