Question

The daily profit, P, of a local car wash company can be calculated using the formula P = c - 12t - 425 when employees work a total of t hours, and the car wash takes in a total of c dollars. Which equation could be used to calculate the amount of money the car wash should take in, if the desired profit is $125?

Answer 1

To determine the amount of money the car wash needs to take in for a desired profit of $125, use the equation c = 12t + 550, substituting t for the total hours worked.

Step-by-step explanation:

To calculate the amount of money c the car wash should take in to achieve a desired profit of $125, we can use the given profit formula P = c - 12t - 425 and replace P with $125. This gives us 125 = c - 12t - 425. To solve for c, we add 12t + 425 to both sides of the equation:

125 + 12t + 425 = c

Now we combine like terms to get the equation for c:

c = 12t + 550

This equation can be used to calculate the total amount of money that needs to be taken in, given the total hours t the employees work, to achieve a profit of $125.

Answer 2

The equation to calculate the total amount of money the car wash should take in to achieve a profit of $125 is c = 550 + 12t, where c is the total money taken in and t is the total hours worked.

Step-by-step explanation:

To calculate the amount of money the car wash should take in if the desired profit is $125, we start by plugging the desired profit into the given profit formula P = c - 12t - 425. Our equation would then become:

125 = c - 12t - 425

To solve for c, the total amount of money taken in, we add 425 and 12t to both sides of the equation, leading to the following:
c = 125 + 12t + 425

Then combine like terms:

c = 550 + 12t

This equation represents the total dollars the car wash needs to take in to achieve a profit of $125, given the total hours worked, t.