Question

A company will sell their new appliance for $35. It cost the company $15 to manufacture the appliance. They anticipated that they would sell x appliances. The company actually sold x+20 appliances. Write an expression that represents profit they will make for this appliance.

a) $35x
b) $20x
c) $20(x + 20)
d) $35(x + 20)

Answer 1

The expression that represents the profit the company will make for each appliance is $20(x + 20). To calculate the profit, subtract the cost of manufacturing from the selling price. Multiply the profit per appliance by the number of appliances sold.

Step-by-step explanation:

The expression that represents the profit the company will make for each appliance is $35(x + 20).

To calculate the profit, we need to subtract the cost of manufacturing from the selling price. The selling price is $35, and the manufacturing cost is $15. So, the profit for one appliance is $35 - $15 = $20.

Since the company actually sold x+20 appliances, to find the total profit, we need to multiply the profit per appliance ($20) by the number of appliances sold (x+20). Therefore, the expression that represents the profit is $20(x + 20).