Linear equations

the cost c (in dollars) for beads to make bracelets is c=4x+180, where x is the number of bracelets. each bracelet sells for $34

a. write an equation for the revenue r in terms of the number of bracelets

b. how many bracelets need to be sold for the business to break even?

Revenue = 34x

6 bracelets need to be sold for the business to break even

Step-by-step explanation:

Given : The cost C (in dollars) for beads to make bracelets is C=4x+180,

             where x is the number of bracelets.

              Each bracelet sells for $34

To Find :

A. Write an equation for the revenue R in terms of the number of bracelets  

B. How many bracelets need to be sold for the business to break even?

Solution :

Since the price of bracelet is $34

Suppose x no. of bracelets are sold .

Formula of revenue = Price * Quantity

Revenue = 34x

An equation for the revenue R in terms of the number of bracelets  = 34x

Now to calculate How many bracelets need to be sold for the business to break even

⇒4x+180 = 34x

⇒180=30x

⇒

⇒

Thus 6 bracelets need to be sold for the business to break even

there is no

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)