Question 147092
Let {{{b}}} = number of blueberry bushes bought
Let {{{p}}} = number of peach trees bought
{{{2.5b + 5.5p <= 500}}}
You can plot {{{b}}} on the y-axis and {{{p}}} on the x-axis
First get the equation into the form {{{y = mx + b}}}
where {{{m}}} is the slope and {{{b}}} is the y-intercept
(just think of it as an equality for now)
{{{2.5b + 5.5p = 500}}}
{{{2.5b = -5.5p +500}}}
{{{b = (-5.5p / 2.5) + (500 / 2.5)}}}
{{{b = -2.2p + 200}}}
Now I can plot this line
Remember, {{{b}}} is the y-axis and {{{p}}} is the x-axis
{{{graph(600, 600, -10, 120, -10, 250, -2.2x + 200)}}}
Any point that is within the triangle formed by the axes
and the line will satisfy {{{2.5b + 5.5p <= 500}}}
I'll pick a point to check.
It looks like {{{b = 16}}} and {{{p = 74}}} falls inside
the triangle. Now I substitute
{{{2.5b + 5.5p <= 500}}}
{{{2.5*16 + 5.5*74 <= 500}}}
{{{40 + 407 <= 500}}}
{{{447 <= 500}}}
This is true. Try another point to check. This may not be the
only way to graph it, but I think its a good way.