Question

The sequence below represents Marisa's fine at the library for each day that she has an overdue book: $0.50, $0.65, $0.80, $0.95, $1.10, ... Which equation represents Marisa's library fine as a function of a book that is n days overdue? F(n) = 0.15n f(n) = 0.50n f(n) = 0.15n + 0.35 f(n) = 0.50n + 0.15

Answer 1

The correct option is:
`f(n) = 0.15n+0.35`

Explanation:

The given sequence is: $0.50, $0.65, $0.80, $0.95, $1.10, ......

The above sequence is an arithmetic sequence, in which common difference
`(d)=0.65-0.50= 0.15`

First term of the sequence is,
`a_(1)= 0.50`

Formula for finding the n-th term is:
`a_(n)= a_(1)+(n-1)d`

So, the n-th term will be......

`a_(n)= 0.50+(n-1)(0.15)\\ \\ a_(n)=0.50+0.15n-0.15\\ \\ a_(n)= 0.15n+0.35`

Thus, the equation that represents Marisa's library fine as a function of a book that is n days overdue will be:
`f(n) = 0.15n+0.35`

Answer 2

Short explanation, its C.

Explanation:

have good day AMIGOS!!!! And best of luck!