Answer:
Exponential: f(x) = 30(1.05)^x
Explanation:
We are told that Chandler increases seasonal workers by 5% each week, meaning after one week the number of workers will be
[tex]30+30(\frac{5}{100})[/tex]
the above simplifies to give
[tex]30(1+\frac{5}{100})=30(1.05)[/tex]
after two weeks, the number of workers becomes
[tex]\lbrack30(1.05)\rbrack+\lbrack30(1.05)\rbrack\cdot\frac{5}{100}[/tex]
which simplifies to give
[tex]30(1.05)(1+\frac{5}{100})=30(1.05)(1.05)[/tex]
similarly it can be shown that after 3 weeks the number of workers will be
[tex]30(1.05)(1.05)(1.05)[/tex]
therefore, after x weeks, the number of workers hired will be
[tex]30(1.05)^x[/tex]
Hence, the fourth option is the correct answer!
