56. Carmela’s annual salary in year n can be modeled by the recursive sequence Cn+1 = 1.05 Cn, where C0 = $75,000.
b. What does the number $75,000 represent in the context of this problem?

Respuesta :

Answer:

In the context of the problem, $75,000 represents Carmela's initial salary.

Step-by-step explanation:

Her salary is modeled by the following function:

[tex]C_{n+1} = 1.05C_{n}[/tex]

So

At any time we have a function modeled in this following recursive format:

[tex]C_{n+1) = F(C_{n})[/tex]

We have that [tex]C_{0}[/tex] is the initial value of C.

For this problem, we have that C is Carmela's salary. So [tex]C_{0} = 75,000[/tex] is Carmela's initial salary. This means that in the context of the problem, $75,000 represents Carmela's initial salary.