12a + 7(2000) > = 38000
12a + 14000 > = 38000
12a > = 38000 - 14000
12a > = 24000
a > = 24000/12
a > = 2000 <==== at least 2000 alumni would have to buy tickets
From the table, y varies directly as x. Therefore, the constant of variation is k = 2 and y = 2x.
<h3>How to find a direct variation?</h3>
For direct variation,
y ∝ x
Therefore,
y = kx
where
- k = constant of proportionality
Hence,
(-2, -4)
-4 = -2k
k = -4 / -2
k = 2
(-4, -8)
y = -4(2) = -8
Therefore,
k = 2 and y = 2x
learn more on variations here: brainly.com/question/2315806
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Answer:
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Step-by-step explanation:
for TY hfhef
Part A
The first thing we must do in this case is to hide the slopes of each line.
line m:
m = (- 4-3) / (0 - (- 4))
m = -7 / 4
Line n:
n = (- 2-2) / (3-1)
n = -4 / 2
n = -2
Answer:
Lines m and n are not parallel because their slopes are different.
Part B:
We look for the slope of the K line:
k = (1 - (- 3)) / (4 - (- 3))
k = 4/7
We observe that it is true that:
k = -1 / m
Answer:
The lines are perpendicular.
3) 2 to 3
4) 4 to 5
5) 5 to 6
6) 5 to 7
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