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.

Answer 1

The linear model of this case takes the form:

y = a(x-b) + k

The cost of having a package delivered has a base fee of $9.70
this is "k" >>>>>  k=9.7 (fixed amount of fee)

THEN


Every pound over 5 lbs cost an additional $0.46 per pound

that means: 0.46(x-5)
in other words, if the package weighs foe example 9 pounds, then 9-5=4, it will cost 0.46*4 for these 4 extra pounds

Finally we have the linear form of this: C = 0.46 (W - 5) + 9.7