During the first year of opening his law firm, a lawyer served 46 clients. In the second year, his number of clients grew to 62. If a linear trend continues, write an equation that gives the number of clients c the lawyer will have t years after beginning his firm.

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Answer:

There were 3 associates and 5 partners in the case.

Since a law firm is going to designate associates and partners to a big new case, and the daily rate charged to the client for each associate (A) is $ 500 and the daily rate for each partner (P) is $ 1000, and the law firm assigned a total of 8 lawyers to the case and was able to charge the client $ 6500 per day for these lawyers' services, to determine the equation that represents the total number of lawyers on the case, and to effectively determine these numbers, the following calculations must be made:

A + P = 8

500A + 1000P = 6500

1000 x 8 = 8000

8000 - 6500 = 1500

1500/500 = 3

3 x 500 + 5 x 1000 = 6500

Therefore, there were 3 associates and 5 partners in the case.