y varies directly as the square of x and y=15 when x=3
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ANSWER
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y varies directly as the square of x
y=15 and x=3
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[tex] \\ y = k {x}^{2} \\ [/tex]
[tex] \\ (15) = k {(3)}^{2} \\ [/tex]
- Square 3
[tex] \\ 15 = k(9) \\ [/tex]
- divide 9 to each side to cancel 9 to have k only in the right side.
[tex] \\ \frac{15}{9} = \frac{k(9)}{9} \\ [/tex]
[tex] \\ k = \frac{15}{9} \\ [/tex]
[tex] \\ k = \frac{5}{3} \\ \\ \\ \\ \\ [/tex]
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