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

  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.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

after going and makeing graphs i would go with a,

there is nothing that is matches the graph. if there was i would show you. but therefore my answer is a.

hope i

-lavira: )