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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

Respuesta :

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.

_____

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

Ver imagen sqdancefan

Otras preguntas

How much money is 16 2/3 of 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 solutio

Respuesta :

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.

_____

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

Ver imagen sqdancefan