Final answer:
By setting up equations for the total cost of services from Company A and Company B and finding the point where they are equal, we determine that both companies charge the same amount when 5000 copies are made.
Step-by-step explanation:
To find the number of copies for which Company A and Company B charge the same amount, you need to set up an equation where the total costs for both companies are equal. For Company A, the cost is represented by the equation C_A = 200 + 0.06x, where C_A is the total cost and x is the number of copies. For Company B, the equation is C_B = 400 + 0.02x. Setting these two equations equal to each other gives us 200 + 0.06x = 400 + 0.02x.
To solve for x, we first subtract 0.02x from both sides to get 0.04x = 200. Then we divide both sides by 0.04 to find the number of copies, which results in x = 5000. So, at 5000 copies, the two companies will charge the same amount.To determine the number of copies for which the two companies charge the same amount, we need to set up an equation and solve for x. Let's start with company A:A(x) = 200 + 0.06x, where x is the number of copiesNow let's set up the equation:200 + 0.06x = 400 + 0.02Subtract 200 from both sides:0.06x = 200 + 0.02Subtract 0.02x from both sides:0.04x = 200Divide both sides by 0.04:x = 5000Therefore, the two companies charge the same amount for 5000 copies.