Question

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 w > 5 lbs.
a. C = 9.7w + 0.46
b. C = 0.46w + 12
c. C = 0.46w + 9.7
d. C = 0.46(w - 5) + 9.7

Answer 1

B because the amount of $0.46 is unknown and you only have one fee of $9.70

Answer 2

Answer:

d. C=0.46(w-5)+9.7

Step-by-step explanation:

the cost of having a package delivered has a base fee of $9.70, that means that independently of the pounds of the package, the cost is always going to be $9.70

Then, there is an additional cost, that just count if the package have more than 5 lbs. Every pound over this 5 lbs, cost $0.46 per pound. So, the additional cost is:

0.46*(w-5)

Where (w-5) are the number of pound that over 5 lbs.

Finally the total cost is the sum of the base cost and the additional cost, that can be written as:

C=0.46*(w-5)+9.7