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18 September, 14:52

The cost of having a package delivered has a base fee of $9.70. Every pound over 5 lbs cost an additional $0.46 per pound. Write a linear model that represents the cost, C, for the total weight, w, in pounds of the package. Assume 5 lbs.

a.

C = 9.7w + 0.46

c.

C = 0.46w + 9.7

b.

C = 0.46w + 12

d.

C = 0.46 (w - 5) + 9.7

Answer is D

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Answers (1)
  1. 18 September, 14:59
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    Option (d)

    C = 0.46 (w - 5) + 9.7

    Explanation:

    We are given that the delivery cost of any package has a fixed value of 9.7$ and an additional value for every 5 lbs extra weight and the additional value is given to be 0.46.

    The equation for total cost C for given total weight w can be written by

    sum of fixed value and every 5 extra lbs

    which can be represented by the equation

    C = 0.46 (w-5) + 97.

    Hence, this represents a linear model for the given data.
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