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

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.