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Alekssandra [29.7K]
3 years ago
12

A pool pass costs $30 for the first month and $15 each additional month. Construct an explicit rule in function notation to mode

l the arithmetic sequence. F(n) = ___________ (simplfy your answer) Find F(12)
Mathematics
1 answer:
noname [10]3 years ago
4 0

Answer:

F(n)=15(n+1)    [ where n is number of months]

F(12)=195

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 F(n) where n represents the number of months.

F(n)=15(n-1)+30

This can be simplified by using distribution.

F(n)=(15n-15)+30

F(n)=15n-15+30

F(n)=15n+15

Take 15 as greatest common factor.

∴ F(n)=15(n+1)

For n=12

F(12)=15(12+1)

F(12)=15(13)

F(12)=195

∴ Amount charged by pool for 12 months = $195

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Cost of month plan = $40

Cost of minutes used = $0.45 after 700 minutes

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