Problema Solution
you are planning a garden that has a total area of 200 square feet. there are two size of size of plants you have chosen for your garden. each small plant requires 2.5 square feet 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 lants to be in the garden.
1. find the intercepts of the graph of the equation.
2. graph the equation
3.what do the intercepts mean in the situation.
4 what are three possible numbers of small plants and large plants that you can plant in the garden.
5. what is the slope of the line.
6. write the equation in slope intercept form.
Answer provided by our tutors
1. x intercept = 80
y intercept = 25
2. Straight line passing through coodinates(80,0) and (0,25)
3. X intercept is the point where the line intersects with x axis i.e y=0
and y intercept is where the line intersects with axis i.e x=0
4.(80,0) (0,25) and (40,12.5)
5. Slope is (-2.5/8)
6. y=(-2.5/8)+25