# Ratio and proportion analysis

1. A lawyer bills her clients $200 per hour of service. If a client's case requires 39 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 15 of the PCs connected to the LAN, and finds that 9 are infected; use proportion to estimate the number of infected PCs if there are a total of 202 PCs connected to the LAN.

3. An administrator of a popular web site is told that a new server can handle 41,000 "hits" (users accessing the site) per second. The web site currently experiences a peak demand of about 105,000 hits per second; but every month, the peak demand increases by 2800 hits per second. Use a proportion equation to determine how many new servers the administrator should buy to address expected traffic for the next 24 months.

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#### Solution Preview

1. A lawyer bills her clients $200 per hour of service. If a client's case requires 39 hours to complete, use proportion to calculate how much the client will owe the lawyer (excluding tax).

Service Time (Hour) 1 39

Cost ($) 200 x

Here service time and cost have directly proportional relationship. If number of service hours increases, Cost will increase. So, we have

1:200=39:x

1*x=39*200

x = 7800

Amount owed by client is $7800

2. ...

#### Solution Summary

Solution describes the steps for solving specific word problems using ratio and proportion equations.