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ALGEBRA - Assignment Example

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b) Suppose you want to cover the backyard with decorative rock and plant some trees as the first phase of the project. You need 30 tons of rock to cover the area. If each ton cost $60 and each tree is $84, what is the maximum number of trees you can buy with a budget for rock and trees of $2,500 Write an inequality that illustrates the problem and solve…
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1. You are planning to spend no less than $6,000 and no more than $10,000 on your landscaping project. a) Write an inequality that demonstrates how much money you will be willing to spend on the project.
Ans. 6000 x 10000
b) Suppose you want to cover the backyard with decorative rock and plant some trees as the first phase of the project. You need 30 tons of rock to cover the area. If each ton cost $60 and each tree is $84, what is the maximum number of trees you can buy with a budget for rock and trees of $2,500 Write an inequality that illustrates the problem and solve. Express your answer as an inequality and explain how you arrived at your answer.
Ans. 8
60r + 84t 2500 where r stands for no of rock and t stands for no of tree
We know r = 30:
60*30 + 84t 2500
84t 2500 - 60*30 = 2500 - 1800 = 700
t 700/84
t 25/3 since t - 10, so we can place the flamingo at (-4, -10).
c) What is the slope and y-intercept of the line in part b How do you know
Ans. Slope m = -2/3 and the y-intercept = (0,-12). The equation is in standard form y = mx + b (m = slope, b = y-intercept)
d) Suppose you want to add a sprinkler system, and the location of one section of the sprinkler line can be described by the equation .
Complete the table for this equation.
x y (x,y)
Ans :
x y (x,y)
-6 -1(-6,-1)
-2 -3(-2,-3)
0 -4 (0,-4)
2 -5(2,-5)
8 -8(8,-8)
e) What objects might be in the way as you lay the pipe for the sprinkler
Ans. Plant E = (8,-8) and Plant F = (18, -12).
Y(8) = (-1/2)8 - 4 = -4 -4 = -8 (exact coordinates of Plant E)
Y(18) = (-1/2)18 -4 = -9 -4 = -13 (close to Plant F's y-coordinate) Read More
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