Question

The cost C (in dollars) of naming n watches is represented by C = 15n + 85. How many watches are made when the cost is 385?

Answer 1

To find the number of watches made when the cost is $385, we solve the equation 385 = 15n + 85 for n. Subtracting 85 from both sides and then dividing by 15, we find that n equals 20. Therefore, 20 watches are made.

Step-by-step explanation:

We need to solve for the number of watches made when the cost is $385. The cost C (in dollars) of making n watches is given by the equation C = 15n + 85.

First, we substitute the cost C with $385 to set up the equation:

385 = 15n + 85

Then, solve for n by following these steps:

1. Subtract 85 from both sides of the equation to isolate the term with n:
2. 385 - 85 = 15n
3. 300 = 15n
4. Divide both sides by 15 to solve for n:
5. 300 / 15 = n
6. 20 = n

Therefore, 20 watches are made when the cost is $385.