# Solve: Ratio and Proportion

1. A lawyer bills her clients $250 per hour of service. If a client's case requires 47 hours to complete, use proportion to calculate how much the client will owe the lawyer (excluding tax).

2. A new virus is released on the internet; the administrator of a department's Local Area Network ( LAN) is given five minutes by a manager to estimate the impact. The administrator samples 12 of the PC's connected to the LAN, and finds that 7 are infected; use proportion to estimate the number of infected PC's if there are a total of 117 PC's connected to the LAN.

3. An administrator of a popular web site is told that a new server can handle 11,000 "hits" (users accessing the site) per second. The website currently experiences a peak demand of about 85,000 hits per second; but every month, the peak demand increases by 3500 hits per second. Use a proportion equation to determine how many new servers the administrator should buy to address expected traffic for the site.

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#### Solution Preview

1. A lawyer bills her clients $250 per hour of service. If a client's case requires 47 hours to complete, use proportion to calculate how much the client will owe the lawyer (excluding tax).

Let X = number of hours used to complete the case

The ratio to find how much the client owe the lawyer will be $250X

If X = 47 hours, then the client will owe $250(47) = $11,750

2. A new ...

#### Solution Summary

In about 280 words, this solution is comprised of a detailed explanation to use the method of proportion to calculate the required values for the various scenarios being discussed. All problems are set-up in a step-wise manner.