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16 April, 09:05

Carlos works as a tutor for an hour and as a waiter for an hour. This month, he worked a combined total of hours at his two jobs. Let be the number of hours Carlos worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.

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  1. 16 April, 09:29
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    D = a*t + b * (T-t)

    Explanation:

    In the example given, four variables are to be considered here,

    How many dollars he makes per hour, same as how many dollars he makes as a waiter, How many hours he worked both as tutor and a waiter

    Let define our variables

    let a = the amount of dollars he makes per hour as a tutor

    Let b = the amount of dollars he makes as a waiter

    Let t = number of hours he worked as a tutor

    Let T = the total hours combined he worked both jobs in a month

    Therefore, T-t = number of hours left he worked as a waiter.

    Then, D = total dollars Frank received this month in which is: D = a*t + b * (T-t)
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