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A certain Internet service provider

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by saxenarahul021 » Tue Nov 27, 2012 12:25 am
A certain Internet service provider charges a base fee of $5.95 per month. Use in excess of 10 hours per month is charged by the minute at a rate of $0.75 per hour. If Sarah can spend at most $9.50 per month on Internet service, then to the nearest minute, what is the maximum amount of time that she can use per month if she subscribes to this Internet service provider?

A. 12 hr 36 min
B. 12 hr 40 min
C. 14 hr 35 min
D. 14 hr 44 min
E. 15 hr 28 min
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by Anurag@Gurome » Tue Nov 27, 2012 4:16 am
saxenarahul021 wrote:A certain Internet service provider charges a base fee of $5.95 per month. Use in excess of 10 hours per month is charged by the minute at a rate of $0.75 per hour. If Sarah can spend at most $9.50 per month on Internet service, then to the nearest minute, what is the maximum amount of time that she can use per month if she subscribes to this Internet service provider?
$0.75 per hour = $0.75/60 per minute

For first ten hours she has to pay $5.95
The excess of $(9.50 - 5.95) = $3.55 she will pay at the rate of $0.75/60 per minute

So, the extra usage she will get = 3.55*60/0.75 minutes = 355*60/75 minutes = 355*4/5 minutes = 71*4 minutes = 284 minutes = 4 hours 44 minutes

Hence, she can use (10 hours + 4 hours 44 minutes) = 14 hours 44 minutes

The correct answer is D.
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