Barbara buys a box of pens for $4. for every additional box she buys, she gets a $1 discount. which expression represents the total cost of the pens, c, as a function of the number of boxes, b?

Let b=the number of boxes, c=cost of the pens
The expression that represents the total cost of the pens if a box costs 4 dollars and then she gets a 1 dollar discount for every additional box is c(b)=3b+1. We got this from the original equation c(b)=4+(4-1)(b-1). Simplify this and you will get c(b)=3b+1.

Answer Link

ApusApus ApusApus · Answer 2 · 2019-07-06T09:21:18+02:00

Answer:

[tex]c(b)=4+3(b-1)[/tex]

Step-by-step explanation:

We have been given that Barbara buys a box of pens for $4.

We are also told that for every additional box she buys, she gets a $1 discount. After discount price would be $3 per box.

Since the discount is not applied for 1st box, so the number of boxes with discount would be [tex]b-1[/tex].

The cost of boxes after discount would be [tex]3(b-1)[/tex].

The total cost of boxes would be cost of 1st box plus cost of boxes after discount: [tex]4+3(b-1)[/tex].

Since the total cost of the pens, c, as a function of the number of boxes, b, so our required function would be [tex]c(b)=4+3(b-1)[/tex].