Exponential Relationships
I am going to show you an exponential relationship through a graph, table and equation.
Let's say that Sarah bought her boyfriend Alec a pack of Ramen Noodles for his birthday, but he wasn't satisfied so everyday, Sarah bought him 2 times the packs she bought him the day before.
Let's say that Sarah bought her boyfriend Alec a pack of Ramen Noodles for his birthday, but he wasn't satisfied so everyday, Sarah bought him 2 times the packs she bought him the day before.
Exponential Graph
![Picture](/uploads/5/9/7/0/59700733/93647.jpg?268)
This is an exponential graph. I know because it slopes up and curves, the goes up rapidly. There is a y-intercept, point at which x is at 0, which is one because Alec started out with one pack of noodles. The growth between each point doubles each time, so the growth rate is 2.
Exponential Table
![Picture](/uploads/5/9/7/0/59700733/1449352389.png?250)
This is an exponential table. I know this because the x is growing at a constant rate and the y is not. It is doubling. This tells me that the relationship is not linear or inverse. Because of the multiplication in it, (2), I know it is an exponential relationship.
Exponential Equation
![Picture](/uploads/5/9/7/0/59700733/4371585.jpg?250)
I know this is an exponential equation because it takes the form of one. The form of an exponential equation is y=a(b)^x. This equation matches my table and graph because it has a 2 for the doubling and it has a starting point of one. The x is the exponent which is the dependent variable in an exponential equation. The a is the starting point, and the b is the growth factor.
Parent Problem
I had my Dad do this problem. He did it over the phone again and I wrote down his steps. He did pretty good for not knowing what to do.
Rules for Exponents
Reflection
Exponential relationship were really hard for me to understand. There were a lot of variables and I just felt it was really confusing and complicated. I managed to understand it enough to be able to explain it and give an example, but I still have trouble with them.