please i need theses anwser asap plz some one tell me big exam i have to study for

Question

1)a plumber charges a $50 call out fee and $70 per hour. the total cost of a particular visit was $295 define a variable to stand for the length of the visit in hours

2) write an equation to describe the problem

3)solve the equation algebracially

4) state the length of the plumbers visit

Answer 1

Hi Brooki, this is a complex question but let's break it down step-by-step.

Remember to define your variables in a way that makes sense given the problem. What are the unknowns here?

We're told how much the plumber charges, $70/hour

We're told how much the plumber charges just to show up, $50

We're told the final cost of the bill, $295

1) So, our big unknown is H = the number of hours the plumber worked at the house. If we can figure out how long the plumber took, we have all the information we need.

Next, let's put all this information into an equation. We know that, no matter what, if the plumber shows up at your house he charged you $50. Okay. So, of our $295 total bill just $50 of that was for coming to the house.

We also know that to find out how much it cost for him to work at the house, we need to know how many hours he was there and MULTIPLY that by the hourly rate, $70. Let's put this all together as words first:

total bill = show-up charge + (hours worked) * (hourly rate)

Now, let's fill in with numbers and variables!

2)

$295 = $50 + H*$70 or $295 = $50 + $70H

3)

Now, let's solve for H!

$295 = $50 + $70H

Subtract $50 from both sides.

$245 = $70H

Divide $70 from both sides.

3.5 = H

4)

So, this means that the plumber was at the house working for a total of 3.5 hours.