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 :

Required system of inequalities to represent this situation:

[tex]15x+10y\geq90[/tex]

[tex]x+y\leq20[/tex]

Given:

Opal makes $15 per hour working for a photographer.

She also coaches a competitive soccer team for $10 per hour.

Defining variables

Let x = Number of hours she works as a photographer, y= Number of hours she works as coach.

Explanation

As she needs to earn at least $90 per week i.e. [tex]15x+10y\geq90[/tex]

but she does not want to work more than 20 hours per week.

i.e. [tex]x+y\leq20[/tex]

Required system of inequalities to represent this situation:

[tex]15x+10y\geq90[/tex]

[tex]x+y\leq20[/tex]

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