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
Mathematics
cubsfancordell
Question
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.
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.
1 Answer

1. User Answers kalyani62
Answer:
a) [tex]y=m+6.75[/tex] where [tex]m[/tex] is the number of comic books
b) Case B has better deal
Stepbystep explanation:
a)
 Let the cost of a poster be [tex]b[/tex] ;
 Let the cost of a comic book be [tex]x[/tex];
 Let the number of comic books be [tex]m[/tex];
 Let the total cost be [tex]y[/tex];
Thus, this is in the form of :
[tex]y=m*x+b[/tex]
Given :
 [tex]12.75=6*x+b[/tex]
 [tex]19.75=13*x+b[/tex]
subtracting both ,
 [tex]7=7x\\x=1;[/tex]
The cost of one comic book is $1;
substituting in the first equation ,
[tex]12.75=6+b\\b=6.75;[/tex]
The equation is :
[tex]y=m+6.75[/tex]
b)
Since the shop sells poster with a comic book , initial value is the cost of one comic book plus one poster.
[tex]7.99=x+b\\x=1;[/tex] 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.