SOLUTION: The cost of a parking ticket is $40 for the first offense, but the cost doubles for each additional offense. Write a formula for the cost C as a function of the number of tickets n

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Question 888643: The cost of a parking ticket is $40 for the first offense, but the cost doubles for each additional offense. Write a formula for the cost C as a function of the number of tickets n.
Remember to use the variable "n" in your answer.
C =
Found 2 solutions by Okamiden, MathTherapy:
Answer by Okamiden(22) About Me  (Show Source):
You can put this solution on YOUR website!
You can find this equation by noticing the pattern.
If n=1 ticket, the cost C=40%24 You could also write this as C=40+x+2+%5E0 since 2%5E0=+1, this will be useful;
If n=2, the cost of one ticket is C+=+40+x+2+=+80%24;
If n=3, the cost of one ticket is C+=+40+x+2+x+2+=+40+%2A+2%5E2+=+160%24;
If n=4, the cost of one ticket is C+=+40+x+2+x+2+x+2+=+40+x+2%5E3+=+320%24+
For an arbitrary n number of tickets, the equation is thus C+=+40+x+2%5E%28n-1%29++

Answer by MathTherapy(10810) About Me  (Show Source):
You can put this solution on YOUR website!

The cost of a parking ticket is $40 for the first offense, but the cost doubles for each additional offense. Write a formula for the cost C as a function of the number of tickets n. 


highlight_green%28highlight_green%28C%28n%29+=+40+%2A+2%5E%28n+-+1%29%29%29