Quentin paid a plumbing company $40 to diagnose his issue he was having with his kitchen sink. He then paid $25 per hour for the labor of fixing the issue thereafter. The function c(t)=40+25t represents the total amount of money he will have paid after t hours. Find the total amount of money he will have paid after 3 hours of labor

Answer 1

To find the total amount of money Quentin will have paid after 3 hours of labor, we can use the function \( c(t) = 40 + 25t \).

Substituting \( t = 3 \) into the function:

\[ c(3) = 40 + 25(3) \]

Calculating the labor cost:

\[ c(3) = 40 + 75 \]

Now, adding these amounts together:

\[ c(3) = 115 \]

Therefore, the total amount of money Quentin will have paid after 3 hours of labor is $115.