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Expressions and Single Equations, Question 8, page 45, 06232016

edited Sun Sep 3, 2017 6:18 pm in Accelerated Course
ursyla_baumgartenursyla_baumgarten Joined: 08/11/2017Posts: 2
David's work week is h hours. Each week he works 3h/5 hours in the office and teleworks the rest of the time. How many weeks will it take David to telework 750 hours in terms of h?

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  • Jonathan EvansJonathan Evans PowerScore Staff Joined: 10/31/2016Posts: 97
    This is a great candidate for Substitution.

    Pick a value for h. 

    Let's say h = 20. This means his work week is 20 hours.

    How much time does he work in the office? 3 x 20 / 5 = 60 / 5 = 12.

    He works 12 hours in the office. 

    Given that his whole work week is 20 hours, this means he teleworks 8 hours every week.

    The question asks how many weeks will it take for him to telework 750 hours. Given that he teleworks 8 hours every week, divide 750 by 8 to figure out how many weeks it will take for him to telework 750 hours.

    750 / 8 = 93.75

    It will take him 93.75 weeks to telework 750 hours. 

    Now we have to find which answer choice gives us 93.75 using h = 20.

    93.75 weeks, h = 20
    (A) 750 / 20 = 37.5
    (B) 1,875 / 20 = 93.75 Yes!
    (C) 20 / 1,250 Definitely not!
    (D) 20 / 1,875 Definitely not!
    (E) 1,250 x 20 Definitely not!


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