Question

Find the annual percent increase or decrease the function models.

Answer 1

So let's assume that n years pass. Then the function would be:

`y_n=18\cdot(0.65)^n`

Now let's assume that another year passes. Then the exponent of the function will be n+1 and we'll have:

`y_(n+1)=18\cdot(0.65)^(n+1)`

If we take the value of the function at x=n+1 and we divide it by the value of the function one year before we can find the percentage of increase or decrease:

`(y_(n+1))/(y_n)=(18\cdot(0.65)^(n+1))/(18\cdot(0.65)^n)=0.65`

This means that every year the value of the function is the 65% of the value of the prrevious year. This means that every year there is aa decrease of 100%-65%=35%.

This means that the answer for the first blank space is 35% and the answer for the second is decrease.