Question

0 A public beach in Arkansas charges non- residents $12 per day for a fishing license and $3.50 per day for live bait. Arkansas residents pay an annual fee of $174 plus $1 per day for live bait. How many days must both a resident and a non- resident use the beach in one year so that both pay the same amount? State whether the equation has one solution, no solution or infinitely many solutions. How do you know?

Answer 1

Non Residents:
f(x)= money in $ paid.
x=number of days.

f(x)=x(12+3.5)=15.5 x

f(x)=15.5x

Arkansas residents
f(x)=money in $ paid.
x=number of days.

f(X)=x+174

Now, we equate functions:

15.5x=x+174    (this is the equation)
15.5x-x=174
14.5x=174
x=174 / 14.5=12

Answer: the number of days is 12 days. The ecuation has one solution, because when I has solved it, I have had one solution.