Question

PLEASE HELP ASAP!!!

OK SO I SOLVED ALL OF THIS: It costs a company $20 per box to make pocket-sized stuffed animals. The company also has a fixed manufacturing cost of $2300. The owners are trying to calculate their cost for making boxes of animals. --Function Rule: c(x) = 20b + 2300.

BUT I NEED HELP WITH THIS!!! Use your function rule to find out how many boxes of stuffed animals can the company manufacture for $5000? SHOW WORK.

basically just show the work to find out what "b" would have to be in order for the
answer to be $5,000 i would appreciate it so much :) please help this is due today :(

Answer 1

The company can manufacture 135 boxes of stuffed animals for $5000

Explanation:

To find b, substitute $5000 for c(x), so

• 5000 = 20b + 2300

Then subtract 2300 from both sides of the equation, so

• 5000 (-2300) = 20b + 2300 (-2300)
• 2700 = 20b

Finally divide both sides of the equation by 20, so

• 2700/20 = 20b/20
• 135 = b

To check your answer substitute 135 in as b...

• c(x) = 20(135) + 2300
• c(x) = 5000