Determine if y varies directly with x. Give the constant of variation, when appropriate. (picture below)
1 answer:
Based on the given variation, y does not vary directly with x and the constant of variation are 8, 3.2 and 1.25 respectively.
<h3>Variation</h3>
y = k × x
where,
k = constant of proportionality
y = -40
x = -5
y = k × x
-40 = k × -5
-40 = -5k
k = -40/-5
k = 8
when,
y = 8 and x = 2.5
y = k × x
8 = k × 2.5
8 = 2.5k
k = 8/2.5
k = 3.2
when,
y = 5 and x = 4
y = k × x
5 = k × 4
5 = 4k
k = 5/4
k = 1.25
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<em>= 279</em>
Step-by-step explanation:
=
+ (n - 1)d
d =
-
~~~~~~~~~
d = - 17 + 25 = - 9 + 17 = - 1 + 9 = 8
= - 25 + 8(39 - 1) = 279
<em>= 279</em><em> </em>
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