Question

Chandler employs 30 people and plans to increase the number of seasonal workers by 5% each week. Select the correct equation that represents this scenario.

Answer 1

Exponential: f(x) = 30(1.05)^x

Step-by-step explanation:

We are told that Chandler increases seasonal workers by 5% each week, meaning after one week the number of workers will be

`30+30((5)/(100))`

the above simplifies to give

`30(1+(5)/(100))=30(1.05)`

after two weeks, the number of workers becomes

`\lbrack30(1.05)\rbrack+\lbrack30(1.05)\rbrack\cdot(5)/(100)`

which simplifies to give

`30(1.05)(1+(5)/(100))=30(1.05)(1.05)`

similarly it can be shown that after 3 weeks the number of workers will be

`30(1.05)(1.05)(1.05)`

therefore, after x weeks, the number of workers hired will be

`30(1.05)^x`

Hence, the fourth option is the correct answer!