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a community service program, students earn points for two tasks: painting over graffiti and picking up trash. The
following constraints are imposed on the program.
1) A student may not serve more than 10 total hours
per
week.
2) A student must serve at least 1 hour per week at each task.
Let g = the number of hours a student spends in a week painting over graffiti.
Let t = the number of hours a student spends in a week picking up trash.
Write a system that represents the imposed constraints.

Respuesta :

The system of equations that represents the imposed constraints is given as follows:

  • [tex]g + t \leq 10[/tex]
  • [tex]g \leq 1, t \leq 1[/tex]

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • g = the number of hours a student spends in a week painting over graffiti.
  • t = the number of hours a student spends in a week picking up trash.

A student may not serve more than 10 total hours per week, hence:

[tex]g + t \leq 10[/tex]

A student must serve at least 1 hour per week at each task, hence:

[tex]g \leq 1, t \leq 1[/tex]

More can be learned about a system of equations at https://brainly.com/question/24342899

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