Jenny starts running at a pace of 10 miles per hour. Her calf starts to hurt after 12 minutes, so she slows down to 6 miles per
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Let x = the number of spruce trees
Let y = the number of maple trees
The information given is summarized in the following table.
Number Cost/tree Area used CO₂ absorption
----------- ------------- --------------- ----------------------
x $30 600 ft² 650 lb/yr
y $40 900 ft² 300 lb/yr
The amount available to spend is $2100, therefore
30x + 40y ≤ 2100
or
(3/4)x + y ≤ 52.5 (1)
The land available for planting is 45,000 ft², therefore
600x + 900y ≤ 45000
or
(2/3)x + y ≤ 50 (2)
The amount of CO₂ removed per year is
A = 650x + 300y (3)
The shaded area in the graph shown below is the solution region.
Optimum values of A occur at the vertices, as shown.
The maximum removal rate occurs at (70, 3.33) at a rate of 46,500 lb/year.
Because we should have an integral number of trees, we should have
70 spruce and 3 maple trees.
Answer: 70 spruce, 3 maple
Let y = the number of maple trees
The information given is summarized in the following table.
Number Cost/tree Area used CO₂ absorption
----------- ------------- --------------- ----------------------
x $30 600 ft² 650 lb/yr
y $40 900 ft² 300 lb/yr
The amount available to spend is $2100, therefore
30x + 40y ≤ 2100
or
(3/4)x + y ≤ 52.5 (1)
The land available for planting is 45,000 ft², therefore
600x + 900y ≤ 45000
or
(2/3)x + y ≤ 50 (2)
The amount of CO₂ removed per year is
A = 650x + 300y (3)
The shaded area in the graph shown below is the solution region.
Optimum values of A occur at the vertices, as shown.
The maximum removal rate occurs at (70, 3.33) at a rate of 46,500 lb/year.
Because we should have an integral number of trees, we should have
70 spruce and 3 maple trees.
Answer: 70 spruce, 3 maple
Answer:
Step-by-step explanation:
If a function has a positive slope, that means the y value is increasing with respect to x. As you go down the x-axis, the y value will continuously increase.
First you want to plot the two sets of coords that they gave you, or else you wont know what the line looks like. Or, you could visually do it in your head. We're going down -4 on the x-axis and down 1 on the y-axis. Then for our second coords, we are going to 0 on the x-axis, then up 3 on the y-axis.
You could plot this for yourself, but im going to do it in my head for simplicity. We also need to find the slope of this function in order for us to find the y-intercept. The slope is change in y divided by the change in x. Subtract the initial position from the final position.
3 - 1 = 2
0 - (-4) = 4
2/4 = 1/2
The new equation is:
Everything is shaded below and to the right of the line. They said the line was solid, so that means less than or equal to,