SOLUTION: A local computer center charges nonmembers $5 per session to use the media center. If you pay a membership fee of $25, you pay only $3 per session. Write an equation th

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A local computer center charges nonmembers $5 per session to use the media center. If you pay a membership fee of $25, you pay only $3 per session. Write an equation th      Log On


   



Question 751004: A local computer center charges nonmembers $5 per
session to use the media center. If you pay a membership fee of $25, you pay
only $3 per session. Write an equation that can help you decide whether to
become a member. Then solve the equation and interpret the solution

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
A local computer center charges nonmembers $5 per
session to use the media center. If you pay a membership fee of $25, you pay
only $3 per session. Write an equation that can help you decide whether to
become a member. Then solve the equation and interpret the solution.
Let N = the number of sessions you will need.

If you don't become a member then your total cost for
the N sessions will be $5N

If you do become a member then your total cost for the
N sessions will be $25 + $3N

Now we set those equal to each other to find the value
of N when they will cost the same.

      5N = 25 + 3N

That's the equation.  We solve it

      2N = 25
       N = 12.5

That's halfway between two integers, 12 and 13.

Interpretation.  If you will need 12 or fewer sessions, then
you should not become a member.  But if you will need 13 or
more sessions, then you should become a member.

Edwin