Question

The inches of rainfall on mount waiale on Kauai in Hawaii is represented by the function f(x)=3^x+1-22 scientist are useing equations to study rain fall from year to year​.

Calculate how much rainfall there was in year four and In year nine. You must show all of your work and calculate.

Answer 1

`\textrm {221 in year 4} \\ \textrm{59027 in year 9}`

Explanation:

we are given a function

`\displaystyle f(x) = {3}^(x + 1) - 22`

where x represents the years f(x) represents the amount of rainfall

so to figure out the amount of rainfall in year 4 we can substitute 4 for x

`\displaystyle f(4) = {3}^(4+ 1) - 22`

simplify addition:

`\displaystyle f(4) = {3}^(5) - 22`

simplify square:

`\displaystyle f(4) = 243- 22`

simplify substraction:

`\displaystyle f(4) = 221`

likewise In the year 9

`\displaystyle f(9) = {3}^(9 + 1) - 22`

simplify addition:

`\displaystyle f(9) = {3}^(10) - 22`

simplify square:

`\displaystyle f(9) = 59049 - 22`

simplify Substraction:

`\displaystyle f(9) = 59027`

hence,

there was 221 and 59027 in year four and In year nine

Answer 2

F(x)=3^x+1-22 is the question