INVERSE VARIATION
[tex] \\ [/tex]
[tex] \\ \bold{GIVEN: } \\ [/tex]
If y varies inversely as x and y, y= 15 when x= 10. Find the y value when x= 35.
[tex] \\ y = \frac{k}{x} \\ [/tex]
Evaluate the given values
[tex] \\ 15 = \frac{k}{10} \\ [/tex]
Multiply 10 to both sides
[tex] \\ (10)(15) = \frac{k}{10} (10) \\ [/tex]
Cancel both 10 from the right side
[tex] \\ (10)(15) = \frac{k}{ \cancel{10}} ( \cancel{10}) \\ [/tex]
Multiply 10 by 15
[tex] \\ \boxed{k = 150} \\ \\ [/tex]
Finding the value of y when x= 35 and use k=150.
[tex] \\ y = \frac{k}{x} \\ [/tex]
Evaluate values
[tex] \\ y = \frac{150}{35} \\ [/tex]
Simplify
[tex] \\ \boxed{ \green{ \sf{y = \frac{30}{7} }}} \\ \\ \\ [/tex]
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