GabbiL
contestada

Which system could be used to solve the following:

A manager is comparing two companies.

Company A charges $50 plus $7 per item.

Company B charges $30 plus $9 per item.

For what number of items will the cost be the same at both companies?

(A) y=7+50x
y=30+9x

(B) y=50+7x
y=30x+9

(C) y=50+7x
y=30+9x

(D) y=50x+7
y=30x+9

Respuesta :

Answer:

(C)

10

Step-by-step explanation:

Let y = cost of items

Let x = number of items

Total cost  = fixed charge + (cost per item x number of items)

Given:

company A fixed charge = $50 , cost per item = $7

company B fixed charge = $30 , cost per item = $9

For company A,

Total Cost = $50 + ($7 x number of items),

          or

     y = 50 + 7x

Similarly for company B,

Total Cost = $30 + ($9 x number of items),

          or

     y = 30 + 9x

Hence (C) is the correct answer.

For the cost to be the same, Total cost for A = total cost for B

i.e 50 + 7x = 30 + 9x

x = 10 items  (Answer)