SOLUTION: The profit on a watch is given by P = x^2 � 13x � 80, where x is the number of watches sold per day. How many watches were sold on a day when there was a $50 loss? (Hint: "$50 lo

Question 64303: The profit on a watch is given by P = x^2 � 13x � 80, where x is the number of watches sold per day. How many watches were sold on a day when there was a $50 loss? (Hint: "$50 loss" means a "negative $50 profit". Plug in -50 for P and solve for x)
Answer by chitra(359) (Show Source): You can put this solution on YOUR website!
The expression for profit is given by:

P = x^2 � 13x � 80 where x represents the number of watches.

By data, it is told that on a particular day there was a loss of $50. That is a negative profit.

That is P = - $ 50

Substituting for P in the above equation, we get:

Adding 50 on both sides of the above equation, we get:

Taking the first two terms and then grouping them again, we get:

Taking common factors again, we get:

(x - 3)(x - 10) = 0

So, (x - 3) = 0 OR (x - 10) = 0

Therefore, x = 3 OR x = 10

Therefore, x = 3 or x = 10

Hence, the solution.

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