Savannah is a salesperson who sells computers at an electronics store. She makes a base pay of $90 e

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  1. math_celebrity

    math_celebrity Administrator Staff Member

    Savannah is a salesperson who sells computers at an electronics store. She makes a base pay of $90 each day and is also paid a commission for each sale she makes. One day, Savannah sold 4 computers and was paid a total of $100. Write an equation for the function P(x), representing Savannah's total pay on a day on which she sells x computers.

    If base pay is $90 per day, then the total commission Savannah made for selling 4 computers is:
    Commission = Total Pay - Base Pay
    Commission = 100 - 90
    Commission = $10

    Assuming the commission for each computer is equal, we need to find the commission per computer:
    Commission per computer = Total Commission / Number of Computers Sold
    Commission per computer = 10/4
    Commission per computer = $2.50

    Now, we build the Total pay function P(x):
    Total Pay = Base Pay + Commission * Number of Computers sold
    P(x) = 90 + 2.5x
     

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