Question

jerald is having drain issues at his home and decides to call a plumber. the plumber charges $35 to come to his house and $50 for every hour they work. if the plumber charges jerald a total of $190, how many hours did the plumber work? write and solve an equation to determine the number of hours worked by the plumber. (2 points) $50x + 35 = 190; x = 3.1$ hours $50x - 35 = 190; x = 4.5$ hours $35x + 50 = 190; x = 4$ hours $35x - 50 = 190; x = 6.9$ hours

Explanation:

Step1: Analyze the cost structure

The plumber has a fixed cost of $35 (to come to the house) and a variable cost of $50 per hour of work. Let \( x \) be the number of hours worked. The total cost is the fixed cost plus the variable cost, so the equation should be \( 50x + 35 = 190 \).

Step2: Solve the equation for \( x \)

Subtract 35 from both sides:
\( 50x + 35 - 35 = 190 - 35 \)
\( 50x = 155 \)

Then divide both sides by 50:
\( x = \frac{155}{50} = 3.1 \)

Answer:

A. \( 50x + 35 = 190; x = 3.1 \) hours