SOLUTION: The Wayside Hotel charges its guests $1 plus $0.80 per minute for long distance calls. Across the street, the Blue Sky Hotel charges its guests $2 plus $0.75 per minute for long di

Algebra ->  Equations -> SOLUTION: The Wayside Hotel charges its guests $1 plus $0.80 per minute for long distance calls. Across the street, the Blue Sky Hotel charges its guests $2 plus $0.75 per minute for long di      Log On


   



Question 1094498: The Wayside Hotel charges its guests $1 plus $0.80 per minute for long distance calls. Across the street, the Blue Sky Hotel charges its guests $2 plus $0.75 per minute for long distance calls. Find the length of a call for which the two hotels charge the same amount. How do you solve this equation?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +A+ = the amount of the bill in dollars
Let +t+ = time in minutes for long distance calls
For Wayside:
(1) +A+=+.8t+%2B+1+
For Blue Sky:
(2) +A+=+.75t+%2B+2+
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Make the amounts equal to eachother
+.8t+%2B+1+=+.75t+%2B+2+
+.05t+=+1+
+t+=+20+
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For a 20 min call, both charge the same
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Here's a plot for both:
+graph%28+600%2C+600%2C+-5%2C+40%2C+-5%2C+30%2C+.75x+%2B+2%2C+.8x+%2B+1+%29+