A company is looking to hire a lawyer. One law rm states that their legal fees can be determined using the expression 350x + 22,000, w

Question

A company is looking to hire a lawyer. One law rm states that their legal fees can be determined using the
expression 350x + 22,000, where x is the number of hours of legal assistance. A second law rm states that their legal
fees can be determined using the expression 410x+16,000. The company president wants to know when the legal fees
would cost the same for each law rm. What number of hours of legal assistance makes the equation 350x+22,000 =
410x+16,000 true?

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Kim Cúc 1 month 2021-08-12T07:31:25+00:00 1 Answers 4 views 0

Answers ( )

    0
    2021-08-12T07:32:43+00:00

    Answer:

    100 hours

    Step-by-step explanation:

    Law firm A = 350x + 22,000,

    Law firm B = 410x+16,000

    Where,

    x = number of hours of legal assistance

    What number of hours of legal assistance makes the equation 350x+22,000 = 410x+16,000 true?

    Equate the legal fees of the two law firms

    350x + 22,000 = 410x + 16,000

    Collect like terms

    350x – 410x = 16,000 – 22,000

    -60x = -6,000

    Divide both sides by -60

    x = -6,000 / -60

    = 100

    x = 100 hours

    The number of hours of legal assistance makes the equation true is 100 hours

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