Answer:
Answers are below, please ask me if something doesn't make sense.
Step-by-step explanation:
so first we set up the equation, in an exponential function it has three parts a*b^x where a is the starting amount, b is 1 + the percent increase (or 1 - the percent decrease) and of course x is every time the increase/ decrease happens.
120*1.2^x
Part A
I don't know the table, but just plug in
.
Part B
I guess you weren't supposed to know? or just do the math without having the equation. If you ever have an increase by percents or decimals or fractions repeatedly though its an exponential function. Specifcially if they are multiplied. Linear functionshave a term added or subtracted. Or in other words exponential is a*b^x (so b is being repeatedly multiplied) and linear is mx+b so m is continually added. Do you need help with the checking part?
Part C
Graph the points for 0, 1, 2, 3.
Part D
Geometric because there is a common ratio instead of a common difference (repeated multilying vs repeated adding/ subtracting), which is pretty much the definition of a geometric sequence.
Part E
a recursive function would basically just take the parts of the exponential function. a1 = starting point and a(n) = a(n-1)*the common ratio. To make f(1) = 125 we do have to change the function I gave before. Instead of 125*1.2^x it will be 125*1.2^(x-1)
. Part C still has the right numbers since we started with 0.
Part F
I gave you the equation, do you know how you would find it though?
The parameters tell us this only works for 2013 and after
