Respuesta :
Answer:
y = 1/2
Step-by-step explanation:
Varies inversely
xy = k
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Find the constant of variation
y = 39 when x = 1/3
k = 1/3 * 39
k = 13
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what is the value of y when x=26
26y = 13
y = 13/26
y = 1/2
Answer:
y = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given y varies inversely with x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition y = 39 when x = [tex]\frac{1}{3}[/tex] , then
39 = [tex]\frac{k}{\frac{1}{3} }[/tex] ( multiply both sides by [tex]\frac{1}{3}[/tex] )
[tex]\frac{1}{3}[/tex] × 39 = k
13 = k
y = [tex]\frac{13}{x}[/tex] ← equation of variation
When x = 26 , then
y = [tex]\frac{13}{26}[/tex] = [tex]\frac{1}{2}[/tex]
