SOLUTION: One movie rental plan is $12 per month plus $1 per movie. Another is $5 per month plus $1.50 per movie. For how many rentals do the plans cost the same? What do they cost when th

Algebra ->  Finance -> SOLUTION: One movie rental plan is $12 per month plus $1 per movie. Another is $5 per month plus $1.50 per movie. For how many rentals do the plans cost the same? What do they cost when th      Log On


   



Question 1130028: One movie rental plan is $12 per month plus $1 per movie. Another is $5 per month plus
$1.50 per movie. For how many rentals do the plans cost the same? What do they cost
when they’re the same?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = number of movies seen
Let +c+ = cost/month
+c%5B1%5D+=+1%2An+%2B+12+
+c%5B2%5D+=+1.5n+%2B+5+
+c%5B1%5D+=+c%5B2%5D+
+n+%2B+12+=+1.5n+%2B+5+
+.5n+=+7+
+n+=+14+
At 14 rentals, the costs are equal
+c%5B1%5D+=+n+%2B+12+
+c%5B1%5D+=+14+%2B+12+
+c%5B1%5D+=+26+
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The costs for both are $26
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check:
+c%5B2%5D+=+1.5%2A14+%2B+5+
+c%5B2%5D+=+21+%2B+5+
+c%5B2%5D+=+26+
OK