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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