SOLUTION:  A store sells packages of comic books with a poster. A poster and 4 comics cost ​$9.99. A poster and 12 comics cost ​$17.99. Write a linear function rule that models the cos

Algebra ->  Linear-equations -> SOLUTION:  A store sells packages of comic books with a poster. A poster and 4 comics cost ​$9.99. A poster and 12 comics cost ​$17.99. Write a linear function rule that models the cos      Log On


   

Question 1208883:  A store sells packages of comic books with a poster. A poster and 4 comics cost ​$9.99. A poster and 12 comics cost ​$17.99. Write a linear function rule that models the cost y of a package containing any number x of comic books.
Found 2 solutions by mccravyedwin, Edwin McCravy:
Answer by mccravyedwin(407) About Me  (Show Source):
You can put this solution on YOUR website!

A store sells packages of comic books with a poster. A poster and 4 comics cost
​$9.99. 

p%2B4c=9.99

A poster and 12 comics cost ​$17.99. 

p%2B12c=17.99

Solve the system:

system%28p%2B4c=9.99%2Cp%2B12c=17.99%29

Solve that system and get p = $5.99 and c = $1.00

So, a linear function rule that models the cost y of a package containing any
number x of comic books is

y%22%22=%22%22%221.00%22x%2B5.99  (You can omit the 1.00)

y%22%22=%22%22x%2B5.99

Edwin

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!

Or you can just figure in your head that since 8 more comic books 
costs $8 more, each comic book costs $1, so a poster is $4 less 
than $9.99 or $5.99.

So y = 1x+5.99  or y = x+5.99

Edwin