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19 February, 04:04

Danielle is a realtor. She receives a salary of $500 per month plus a 6% commission on each house the she sells. Which representation shows the relationship between x, Danielle's total sales for the month, and y, her monthly income

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  1. 19 February, 06:02
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    The relationship between x, Danielle's total sales for the month, and y, her monthly income is as shown;

    y=0.06 x+500

    Step-by-step explanation:

    Step 1: Express the monthly income

    The monthly income can be expressed as follows;

    y=F + (R*x)

    where;

    y=her monthly income

    F=fixed income per month

    R=commission rate

    x=total number of houses she sells

    In our case;

    Monthly income=y

    F=$500 a month

    R=6%=6/100=0.06

    total number of houses she sell=x

    replacing;

    y=500 + (6% of x)

    y=500 + (0.06*x)

    y=500+0.06 x

    The relationship between x, Danielle's total sales for the month, and y, her monthly income is as shown;

    y=0.06 x+500
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