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Answer :
F(x)=3^x+1-22 is the question
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Answer:
[tex] \textrm {221 in year 4} \\ \textrm{59027 in year 9}[/tex]
Step-by-step explanation:
we are given a function
[tex] \displaystyle f(x) = {3}^{x + 1} - 22[/tex]
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
[tex] \displaystyle f(4) = {3}^{4+ 1} - 22[/tex]
simplify addition:
[tex] \displaystyle f(4) = {3}^{5} - 22[/tex]
simplify square:
[tex] \displaystyle f(4) = 243- 22[/tex]
simplify substraction:
[tex] \displaystyle f(4) = 221[/tex]
likewise In the year 9
[tex] \displaystyle f(9) = {3}^{9 + 1} - 22[/tex]
simplify addition:
[tex] \displaystyle f(9) = {3}^{10} - 22[/tex]
simplify square:
[tex] \displaystyle f(9) = 59049 - 22[/tex]
simplify Substraction:
[tex] \displaystyle f(9) = 59027[/tex]
hence,
there was 221 and 59027 in year four and In year nine
