If y varies inversely as x and y = 5 when x = = 5,
find y when x = 45.

Answer:
y = 5/9
Step-by-step explanation:
y varies inversely as x is represented by: y = k/x
first, plug in values for y and x to find 'k'
5 = k/5
k = 25
now plug in k and x to find 'y'
y = 25/45
y = 5/9 (simplified)
The answer to the the value of y when x = 45 is y = 5/9.
Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Here y varies inversely as x
[tex]\rm y \;\;\alpha \;\;\dfrac{1}{x}[/tex]
[tex]\rm y \;\; = \;\;\dfrac{k}{x}[/tex]
Putting values for y and x to find
'k'5 = k/5k = 25
now putting k and x to find 'y'y
= 25/45y
= 5/9
Therefore the value of y when x = 45 is y = 5/9.
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