Exponential Equations Objective: Students will be able to write and interpret exponential equations.
Exponential Equations Growth and Decay Graph grows quicker than just a square or cubed Looking at percentage growth and decay a is y intercept, when x =0 b is what is being repeatedly multiplied b>1 growth b<1 decay
Growth a variables mean the same thing except r r is the percent that you are going, such as a population (1+r) is the b value
Decay Similar to growth except you subtract r because your population is going down (1-r) is the b value
Finding from a table Look for when x = 0 this will give you a Look for pattern in the y values, always multiplication, division is just multiplication of a fraction
Example X Y 2 1 6 18 3 54 X=0 y is 2 this is the a value 2 1 6 18 3 54 X=0 y is 2 this is the a value Constantly multiply by 3
Example X Y 4 1 2 3 ½ ¼ A=4 B=1/2
Word Problem