Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures cell phones can be modeled by the polynomial 2x2 + 55x + 10. The cost, in dollars, of producing the cell phones can be modeled by 2x2 – 15x – 40. The variable x represents the number of cell phones sold.What expression represents the profit, and what is the profit if 240 cell phones are sold?

40x – 30; $2,400
40x – 30; $9,570
70x + 50; $16, 850
70x + 50; $28,800

1 answer

The expression representing the profit is the difference between revenue and cost: Profit = (2x^2 + 55x + 10) - (2x^2 - 15x - 40) = 70x + 25.

If 240 cell phones are sold, we can calculate the profit by plugging in x = 240 into the profit expression: Profit = 70(240) + 25 = $16,825.

Therefore, the correct answer is: 70x + 25; $16,825.