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[tex] \\ \\ [/tex]
c varies jointly as a & b and c= 45 when a= 15 and b= 3.
[tex] \\ c = kab \\ \\ [/tex]
Evaluate the values
[tex] \\ 45 = k(15)(3) \\ \\ [/tex]
Multiply 15 and 3
[tex] \\ 45 = k(45) \\ \\ [/tex]
Divide 45 to both sides
[tex] \\ \frac{45}{45} = \frac{k(45)}{45} \\ \\ [/tex]
Cancel both 45 from the right side
[tex] \\ \frac{45}{45} = \frac{k( \cancel{45})}{ \cancel{45}} \\ [/tex]
Simplify
[tex] \\ \blue{k = 1} \\ \\ \\ [/tex]
Finding the value of c when a= 21 and b= 8. Use the constant of variation of the first equation.
[tex] \\ c = kab \\ \\ [/tex]
Evaluate values
[tex] \\ c = (1)(21)(8) \\ \\ [/tex]
Multiply all values
[tex] \\ \large\boxed{ \green{ \sf{c = 168 }}} \\ \\ \\ \\ [/tex]
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