Question

a plumber charges $13.50 per hour for a plumbing job that requires more than 3 hours to complete . for any job requiring 3 hours or less , there is a flat charge of $40.50 . if h represents the number of hours the job requires , which of the following equations gives the charge 1) 13.5h+40.5=t. 2) t=13.5h. 3) 13.5h-40.5=t. 4) 40.5=t

Answer 1

The correct equation for the plumber's charge is t = $40.50 + $13.50(h-3), where h > 3. For h ≤ 3, the charge is a flat fee of $40.50. None of the provided options accurately represent the correct piece-wise function for this scenario.

Step-by-step explanation:

The question involves creating a piece-wise linear equation to determine the charge for a plumbing job depending on the number of hours worked, represented by h. For jobs requiring 3 hours or less, there is a flat charge of $40.50. Thus, if h ≤ 3, then the total charge t equals $40.50. For jobs requiring more than 3 hours, the plumber charges $13.50 per hour. Therefore, for h > 3, the total charge t is $40.50 (the flat fee for the first 3 hours) plus $13.50 multiplied by each additional hour beyond 3. This equation can be written as t = $40.50 + $13.50 (h-3). Answer choice 1 is nearly correct but incorrectly adds the flat fee to the hourly charge for all hours. The correct equation should include the flat fee and the hourly charge only for the hours beyond 3.

Answer 2

Equations 2 and 4?

Step-by-step explanation:

It sounds like there are two separate equations for this problem depending if the time spent on the job is more, or less than or equal to 3. If the job is more than 3 hours the equation would be number 2. If the job takes less or equal to three hours the equation would be 4. I hope this helps.