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

Answer:

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

Step-by-step 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

Answer:

Short explanation, its C.

Step-by-step explanation:

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