There are many ways of applying rational function in our lives. Examples of this are used in determining the ff:

Cost of living

Medical Dosage

Economic Production of Goods

C(t)= 4t

t^2+2

Did you say functions?

Rational Function

A rational function is a function that can be represented through an equation in this form :

f(x) = p(x)/ g(x)

***both p(x) and g(x) are polynomial functions, where g(x) cannot equal to 0.

REAL LIFE APPLICATION OF FUNCTIONS

**What are the different types of function**

that will be discussed?

that will be discussed?

**Using Rational Functions**

in Medical Dosage

in Medical Dosage

**1.) Rational Function**

2.) Linear Function

3.)Exponential

Function

2.) Linear Function

3.)Exponential

Function

**When medicine is given overtime**

a certain amount is going to be

absorbed in the body so we

need to know the exact amount

of the medicine that is existing

in that body in a certain

period of time. We will use the

rational function in determining

the concentration of the medicine

in the body.

a certain amount is going to be

absorbed in the body so we

need to know the exact amount

of the medicine that is existing

in that body in a certain

period of time. We will use the

rational function in determining

the concentration of the medicine

in the body.

This is a hypothetical rational function representing the

concentration of a drug in the

patient’s bloodstream with

respect to time.

**Rational function: real world problem**

What will the concentration, in ppm, of the drug be after 4 hours?

Use the given formula: where C = concentration in ppm and t = number of hours

C(t)= 4t

t^2 + 2

= 4 (4)

(4)^2 + 2

= 16

18

or

= 8

9

From calculating, we know that after

4 hours of injecting the drug,

the concentration of the patient's

blood will be 8 ppm.

9

**Visual representation**

**What is Linear Function?**

A function f is linear if it can be expressed in the form :

f ( x) = mx + b

where m and b are constants and x is an arbitrary member of the domain of f. Often the

relationship between two variables x and y is a linear function expressed as an

equation y = mx + b .

Some Real - Life Applications of

Linear Functions

Cost of the purchased item

Total hours of travel and distance

Transport fare

and fuel pump price

Using Linear function on

Transport fare and fuel pump price

The approach adopted in this study is the use of mathematical model in the form of a linear equation to investigate the impact of subsidy removal on the standard of living of the people and its long term economic effect. This is used to analyze the correlation between fuel pump price and transportation.

Linear Application Explanation

from a Real Situation

The purpose of this section is to establish the relationship between the two variables (fuel pump price and transport fare), and their corresponding values gotten from the survey. Which is similar to the equation of a straight line y = mx + c, which is a first degree equation.

m= N -economical factor

c= intercept of fuel price and

transport fare.

Survey Given

Considering this we plot a graph of fuel price against transport fare. It is represented mathematically as

m= ( change in transport fare)

(change in fuel price current purchase value of naira)

CPVN = (change in transport fare)

(change in fuel price)

For example 2012 purchase value of one hundred naira is :

X (any naira denomination)

CpVN2012 = 40 x N100

m= 52.60

70

we can further deduce the value

of c from the following equation

Given that T = mF + c or Y=mx+b

such that if c = 0; change in

T = m(change in F)

from the table1, we could deduce that

(T-5) = 52.6(F-0.5)

F = 52.6T – 26.3 + 5 F = 52.6T – 21.3

This implies that c = -21.3

The negative sign gotten from the intercept shows that there was a point in time when fuel was practically gotten for free by Nigerians, that was actually before the first fuel hike in the country.

Therefore we can derive an equation for the economy of Nigeria which is

F= 52.6T – 21.3.

The value for the application of this equation is gotten from table1; it is a further explanation of the effect of fuel hike on the actual purchasing power of naira.

Some Real - Life Applications of Exponential Linear Functions

**What is exponential functions?**

Exponential functions look somewhat similar to

functions you have seen before, in that they involve exponents,

but there is a big difference, in that the variable is now the power,

rather than the base.

Previously, you have dealt with such

functions as f(x) = x^2, where the variable x

was the base and the number 2 was the power.

In the case of exponentials,

however, you will be dealing with functions such as g(x) = 2^x,

where the base is the fixed number, and the power is the variable.

Population Growth

Interest

Exponential decay

Exponential Function: Real Life application

Population Growth

Exponential functions are quite used to

model population growth

Consider this example:

Suppose there is a social networking website.

Every week, every member of the site recruits one

more person to join the site.

If there are 10 members initially, graph the number of

members of the site versus time.

If every member recruits a new

member each week, the population of the site

doubles. Thus, each week, the population of the site

is multiplied by two. If there are ten initial members,

our model will be y = 10 * 2t.

Let's zoom in!

The population

of the site is over

1000 people in

just over 6

weeks!

Populations that

grow

exponentially are

very fast-

growing.

By: Sofia Mallari

and Ivan Ichon