Question

55. Carmela’s annual salary in year n can be modeled by the recursive sequence Cn+1 = 1.05 Cn, where C0 = $75,000.

Answer 1

Answer:

It represents that Carmela's salary increases 5 percent each year.

Step-by-step explanation:

Her salary is modeled by the following function:

$C_{n+1} = 1.05C_{n}$

So

$\frac{C_{n+1}}{C_{n}}= 1.05$

This means that for each year, Carmela's next year salary is going to 1.05 of this year.

So, in the context of this problem, the number 1.05 represents that Carmela's salary increases 1.05-1 = 0.05 = 5 percent each year.