how can we apply these stuffs to the real world?

Question

You know the linear functions and exponential functions that show gradual increasement of the values....how theses mathmatical graphs can be appied or related to real world or other situations?

Answer 1

These models are very useful, to real world situations, generally you need two values to find a linear or exponential function to apply to a real world situation. Exponential functions are useful to describe anything that grows or decays at a rate based on the current amount, such as the amount in your savings account at compound interest or the amount of radioactivity present. Linear functions are useful to describe anything that grows or decays at a constant rate, such as the amount you'd have put away in a savings plan with simple interest or no interest. (no interest, for example, if your savings plan is a cash box in your closet)
Here are some links that explain how you'd apply these functions to real life applications, and how you'd find the functions to apply....
http://www.purplemath.com/modules/slopyint.htm
http://www.purplemath.com/modules/expoprob.htm
http://math.kennesaw.edu/~sellerme/sfehtml/.../math1113/linearfunctions.pdf
http://wcherry.math.unt.edu/math1650/exponential.pdf
http://www.columbia.edu/itc/sipa/math/linear.html
http://www.people.vcu.edu/~ldwibber/tutoring/applinear.html
http://www.biology.arizona.edu/BioMath/tutorials/Linear/Applications.html
http://www.columbia.edu/itc/sipa/math/applications.html
http://campus.northpark.edu/math/PreCalculus/Transcendental/Exponential/Applications/

Answer 2

I'll take one specific example... Why graph a parabola? When you throw a ball, it will describe an arc as it flies through the air. This arc is in the shape of a parabola! Using the parameters of how fast you throw it, and what angle you release it, you can graph the parabola, and it will match the actual flight of the ball. The simplest example is dropping a ball. The equation for the height of the ball is... d = 16*t^2 feet where d = the distance fallen, and t = the time in seconds. How did I figure this out? The acceleration due to gravity (on the earth) is 32 feet per second squared. Velocity can be calculated as acceleration * time. Distance can be calculated as 1/2 acceleration * time *time. These equations were discovered by Isaac Newton as he was formulating calculus. The mathematical fundamentals can normally be translated into real world examples. It's a shame that they are often taught as just rules to follow. Take a look at the book "The Math Instinct: Why You're a Mathematical Genius (Along with Lobsters, Birds, Cats, and Dogs)" by Keith Devlin. It has a lot of fun examples of how nature uses mathematics, and so do people.

Answer 3

Lol,

Exponential functions are used in science, especially in population projections. This is useful for those who want to estimate the population of a species (bacteria or an animal, such as a deer) and predict when the population will reach a certain level. (for example, extinction)

Linear functions are used even more, such as to estimate the rate of a chemical reaction, or to see how far something goes. Using a linear function is often much faster than using conventional methods of solving problems.

Answer 4

Linear functions and exponential functions both show the rate of change. Any business can use these in order to show their profit, as well as how much they need to sell in order to make a profit. It shows the continuous growth of the business.

I am currently in Business Calculus right now, and we are currently learning this.

Answer 5

Air pressure falls off exponentially as you climb in altitude. The amount of money you make when working hourly grows at a linear rate.

Answer 6

Well it depends a bit on your world

Mostly these things are used in economics, engineering, sciences and in general by people who want to understand ho thing work and why.

however you can get by watching porn and eating pizza 7 chips, and can even get a pretty good looking girlfriend without any knowledge of this stuff whatsoever