Question

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

Answer 1

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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