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Opal makes $15 per hour working for a photographer. She also coaches a competitive soccer team for $10 per hour.



Opal needs to earn at least $90 per week, but she does not want to work more than 20 hours per week.



a. Define the variables and write a system of inequalities to represent this situation

Respuesta :

onyebuchinnaji

The system of inequalities that represents the given situation are x + y ≤ 20 and 15x + 10y ≥ 90.

The parameters needed to model the inequalities;

  • amount made by Opal working for a photographer = $15 per hour
  • amount made in the soccer team = $10 per hour
  • minimum amount Opal needs to make a week = $90
  • maximum number of hours Opal needs to work = 20 hours

Let the number of hours Opal works for a photographer = x

Let the number of hours Opal works in soccer team = y

The first system of inequality in the given situation is represented as;

x + y ≤ 20

The second system of inequality in the given situation is represented as;

15x + 10y ≥ 90

Thus, the system of inequalities that represents the given situation are x + y ≤ 20 and 15x + 10y ≥ 90.

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