Question

charlene makes $10 per hour babysitting and $5 per hour gardening. She wants to make at least $80 a week, but can work no more than 12 hours a week. Graph the solution a of the system ?
how do i graph this

Answer 1

Answer:

  see below

Step-by-step explanation:

The problem statement describes two inequalities, one for hours and one for dollars.

Let x and y represent babysitting hours and gardening hours, respectively. The the dollar inequality is ...

  10x +5y ≥ 80 . . . . . . . Charlene wants to make at least $80 per week

The hours inequality is ...

  x + y ≤ 12 . . . . . . . . . . .Charlene cannot work more than 12 hours

Graph the lines for the "equal to" case and shade the solution area above the line for the first inequality (80 is a minimum) and below the line for the second (12 is a maximum).

Where the shaded areas overlap is the solution region for the system.

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Sometimes, it is useful to know the boundary points of the solution region. Those are labeled in the graph below.