Question

a plumber charges $50 for every house call and an additional $70 for each hour of work for one house call yesterday the plumber earned $435 which equation can be solved to find the number of hours the plumber word on the house call

Answer 1

To determine the number of hours the plumber worked, solve the linear equation $435 = $50 + $70x, where $435 is the total earnings, $50 is the charge for the house call, and $70 is the hourly rate.

Step-by-step explanation:

The student is asking for the equation that can be used to find the number of hours a plumber worked, given that the total earnings from a house call were $435, with a $50 house call charge and $70 per hour for labor. To find the hours of work, we can set up a linear equation where the total earnings Y equal the base charge (B) plus the hourly rate (H) times the number of hours worked (x):

Y = B + Hx

For this situation, we know that:

• Total earnings Y = $435
• Base charge B = $50
• Hourly rate H = $70

Using this information, we substitute the values into the equation:

$435 = $50 + $70x

To find x, the number of hours worked, we would subtract the base fee from the total earnings and then divide by the hourly rate:

1. Subtract the base charge from both sides of the equation: $435 - $50 = $70x
2. Divide by the hourly rate to solve for x: ($435 - $50) / $70 = x

Thus, the equation to solve for the number of hours the plumber worked is $435 = $50 + $70x.

Answer 2

5.5 hours

Step-by-step explanation:

Since every house has an initial charge of $50, we can begin with that

($50)

Then, let's define h as the number of hours. We know every hour is $70, although the hours is yet unknown so that can be

($70 * h) or simply ($70h)

Now, we know the total should end up to be $435, so after PEMDAS the equation will be

($70h + $50 = $435).

We subtract 50 from both sides so now we have $70h = $385.

Now we divide both sides by 70, giving us h = 5.5. Hope it helped!