Luigi is an urban planner. As an independent contractor, he charges a $140 fee plus $25 per hour for
each contract with the city
Write a function to represent this scenario where y represents the total amount he charges for a
project and x represents the number of hours worked on a project.
Amount earned for 10 hours of work ?

Respuesta :

Answer:

Function: [tex]y=140+25x[/tex]

Amount earned for 10 hours of work: [tex]\$390[/tex]

Step-by-step explanation:

Let be "x"  the number of hours worked on a project and "y" the total amount Luigi charges for a project.

Based on the data given in the exercise, you can identify that:

  • $140 is a fixed amount.
  • For each hour worked on the project, Luigi charges $25. This can be expressed as: [tex]25x[/tex]

Then, the total amount he charges for a project is the sum of $140 and [tex]25x[/tex]. This can be represented with the following function:

[tex]y=140+25x[/tex]

To calculate the amount of money earned for 10 hours of work, you must substitute [tex]x=10[/tex] into the function and evaluate. Then:

[tex]y=140+25(10)\\\\y=390[/tex]