College Algebra Word Problem

Question

 define variables, write an equation, and then use the equation in the solving process.

The mathematical model C=200x+50,000 represents the cost in dollars a company has in manufacturing x items during a month. How many items were produced if costs reached $210,000?

Answer 1

The variable is defined in the question, buuuuut OK.

 

Let x = the number of items produced in a month

Let C = the monthly cost

C = 210,000

 

210,000 = 200x + 50,000

210,000 - 50,000 = 200x + 50,000 - 50,000

160,000 = 200x

160,000/200 = 200x/200

x = 800 items