Barbara is deciding between Banquet Chefs and CeCe’s Catering to cater an awards banquet. Barbara needs to choose the company that costs les

Question

Barbara is deciding between Banquet Chefs and CeCe’s Catering to cater an awards banquet. Barbara needs to choose the company that costs less, but she does not yet know how many guests will be attending.

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Skylar 6 days 2021-10-12T12:11:49+00:00 1 Answer 0

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    2021-10-12T12:13:35+00:00

    Answer:

    In this scenario you should use chefs if you have less than 55 people and you should use cece’s if you have more than 55 people.  

    Step-by-step explanation:

    To find out which one will be cheaper you need to know where they intersect, to do this you need to set up a system of equations.

    y=28x+590 (chefs)

    y=31x+425 (cece’s)

    to know where they intersect you need to make the y=0

    28x+590=31x+425

    Then solve

    subtract the x from each side

    590=3x+425

    Subtract 425 from each side

    3x=165

    divide each side by three

    x=55

    now evaluate

    Place a number above 55 (60 for example) into the place of x

    28(60)+590=2,270

    31(60)+425=2,285

    In this scenario you should use chefs if you have less than 55 people and you should use cece’s if you have more than 55 people.  

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