Elaborate Linear and Exponential Functions
You might be asking, does this really matter to me in real life? I will never be a mathematician, so do I really care? The answer is yes. Being familiar with and being able to solve problems using graphs and equations is something that is very useful in everyday life.
In our video, we used the example of someone working for a linear equation. If you worked 0 hours, you would get paid $0. If you get paid $9 per hour, you can figure out an equation that will tell you how much $ you will make in a given hour. That equation would be y=9x because you are getting $9 an hour and you are starting from 0 (going through the origin), so there is no y-intercept. Then if you worked 27 hours and wanted to know how much you would make, you would plug that number into your equation. y=9(27) because x=27. The answer will then give you how much you would make in that time period.
If you are looking at population growth, as we did in our video, you would be using exponential equations. If you know that a city started with 50,000 people and their population is increasing at a rate of 10% a year, you could make an equation based off of that information to figure out what the population would be in x years. Using the equation y=m*p^x, your starting value would be your m, the percentage increase your p (1+percentage), and the years as your x. y=500,000*1.1^x.You can then find the population after x years.
A) Research some possible variables that would represent a linear relationship. Describe this relationship as a function.
B) Research some possible variables that would represent an exponential relationship. Describe this relationship as a function.
After answering A and B, move on to EVALUATE!