192k views
0 votes
A store sells packages of comic books with a poster.

1 poster + 6 comics = $12.75
Or
1 poster + 13 comics = $19.75


a. write a linear function in the form y=mx+b that represents the cost, y, of a package containing any number of comic books.


b. Construct Arguments. Suppose another store sells a similar package, modeled by a linear function with initial value $7.99 which store has the better deal? Explain.

User MNY
by
8.5k points

1 Answer

5 votes

Answer:

a)
y=m+6.75 where
m is the number of comic books

b) Case B has better deal

Explanation:

a)

  • Let the cost of a poster be
    b ;
  • Let the cost of a comic book be
    x;
  • Let the number of comic books be
    m;
  • Let the total cost be
    y;

Thus, this is in the form of :


y=m*x+b

Given :


  • 12.75=6*x+b

  • 19.75=13*x+b

subtracting both ,


  • 7=7x\\x=1;

The cost of one comic book is $1;

substituting in the first equation ,


12.75=6+b\\b=6.75;

The equation is :


y=m+6.75

b)

Since the shop sells poster with a comic book , initial value is the cost of one comic book plus one poster.


7.99=x+b\\x=1; --since its similar.

In case of a. , The cost of one book plus poster = $1+6.75=$7.75

which is lesser than $7.99 .

Thus case B has the best deal.

User Gnac
by
7.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories