Question 174446
 Each small plant requires 2.5 square feet of space and each large plant requires 8 square feet of space.  This situation can be modeled by the equation {{{2.5x + 8y = 200}}} where x is the number of small plants and y is the number of large plants to be placed in the garden.
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Arrange equation in the slope/intercept form for graphing
2x + 8y = 200
8y = 200 - 2.5x
y = {{{200/8}}} - {{{2.5/8}}}x
y = 25 - .3125x
:
Assume you know how to draw a graph from an equation, Plot for x=16, and x=32
{{{ graph( 300, 200, -20, 85, -10, 35, 25-.3125x) }}}
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1. Find the intercepts of the graph of the equation and what do those intercepts in this situation mean?
:
y intercept (x=0); 25 large plants, 0 small plants (y=25)
x intercept (y=0); 0 large plants, 80 small plants (x=80)