Josephine C.

asked • 09/06/18

Write A Piecewise Function From A Word Problem

Shipping company IPS has shipping rates that are a function of the weight of the parcel. For packages weighing less than or equal to 5 pounds, they charge $ 1 per pound. For packages weighing between 5 and 10 pounds, they charge $ 2 per pound. If packages weigh 10 pounds or more, they charge $ 2.75 per pound. IPS refuses to ship any parcel weighing more than 51 pounds. There is also a flat fee of $ 1 for all deliveries and an additional fee of $ 3 for all deliveries weighing 10 pounds or more.

Complete the following description of a piecewise function so that it describes the shipping costs C(x) in dollars as a function of the weight x in pounds.

C(x)= {... if x is in the interval ...
{... if x is in the interval ...
{... if x is in the interval ...

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