SOLUTION: You are planning an ornamental garden that has a total area of 200 square feet. There are two sizes of ornamental plants you have chosen for your garden. Each small plant require
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Question 174446This question is from textbook Algebra 2, Texas Edition
: You are planning an ornamental garden that has a total area of 200 square feet. There are two sizes of ornamental plants you have chosen for your garden. 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 where x is the number of small plants and y is the number of large plants to be placed in the garden.
1. Find the intercepts of the graph of the equation and what do those intercepts in this situation mean? This question is from textbook Algebra 2, Texas Edition
You can put this solution on YOUR website! 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 where x is the number of small plants and y is the number of large plants to be placed in the garden.
:
Arrange equation in the slope/intercept form for graphing
2x + 8y = 200
8y = 200 - 2.5x
y = - x
y = 25 - .3125x
:
Assume you know how to draw a graph from an equation, Plot for x=16, and x=32
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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)
