A plumber charges a base fee of $65 plus $50 per hour. Which linear equation models this?
c=50h+65
c=65h+50
h=65c+50
h=50c+65
The correct linear equation that models this situation is c = 50h + 65.
The correct linear equation that models the situation is: c = 50h + 65.
To understand why, let's break down the equation:
- "c" represents the total cost (in dollars) charged by the plumber.
- "h" represents the number of hours the plumber works.
According to the information given, the plumber charges a base fee of $65, which means that even if no work is done (h=0), the cost would still be $65.
In addition to the base fee, the plumber charges $50 per hour. This is represented by the equation 50h.
Combining the base fee and the hourly rate, we can express the cost equation as c = 50h + 65.
Therefore, the correct linear equation that models the plumber's charges is c = 50h + 65.