Apool pass costs $30 for the first month and $15 each additional month.
construct an explicit rule in function notation to model the arithmetic sequence.
f(n) = (simplfy your answer)

find f(12)

  [ where  represents number of months]

Step-by-step explanation:

Pool pass cost for first month =$30

Pool pass cost after first month = $15 for each month

The total amount charged by the pool can be expressed as a function where represents the number of months.

This can be simplified by using distribution.

Take 15 as greatest common factor.

∴

For months we plugin 12 for in the function.

∴ Amount charged by pool for 12 months = $195

step-by-step :