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mistysallaberry
10.05.2021 •
Mathematics
The graph shows the prices of different numbers of bushels of corn at a store in the current year. The table shows the prices of different numbers of bushels of corn at the same store in the previous year.
A graph shows Number of Bushels on x-axis and Price of Corn in dollars on y-axis. The x-axis scale is shown from 0 to 14 at increments of 2, and the y-axis scale is shown from 0 to 112 at increments of 16. A straight line joins the ordered pairs 2, 16 and 4, 32 and 6, 48 and 8, 64 and 10, 80 and 12, 96.
Previous Year
Number of Bushels
Price of Corn (dollars)
2
12
4
24
6
36
8
48
Part A: Describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value. (5 points)
Part B: How many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? Show your work. (5 points)
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Ответ:
Therefore, we can suggest this system of equations:
x+y=2
xy=-24
We can solve this system of equations by substitution method.
x+y=2; ⇒y=(2-x)
then:
x(2-x)=-24
2x-x²=-24
x²-2x-24=0
x=[2⁺₋√(4+96)]/2=(2⁺₋10)/2
we would have two possible solutions:
x₁=(2-10)/2=-4 ⇒y₁=(2-x)=2+4=6
x₂=(2+10)/2=6 ⇒y₂=(2-x)=2-6=-4
We can see the numbers would be -4 and 6.
the numbers would be: -4 and 6.