2 varies jointly as x and y, if z=3 when x=3 and y=15, find z when y=6 and y=9.
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2 varies jointly as x and y, if z=3 when x=3 and y=15, find z when y=6 and y=9
2 varies jointly as x and y, if z=3 when x=3 and y=15, find z when y=6 and y=9.
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Problem:
z varies jointly as x and y, if z=3 when x=3 and y=15, find z when y=6 and y=9.
Solution:
z = kxy ; k = constant of variation
3 = k(3)(15)
3 = 45k
[tex]\[\begin{array}{l}\frac{3}{{45}} = \frac{{45k}}{{45}}\\\\k = \frac{3}{{45}} \div \frac{3}{3}\\\\k = \frac{1}{{15}}\end{array}\][/tex]
z = kxy
[tex]\[\begin{array}{l}z = \frac{1}{{15}}(6)(9)\\\\z = \frac{{54}}{{15}} \div \frac{3}{3}\\\\z = \frac{{18}}{5}\end{array}\][/tex]
Answer:
[tex]\[z = \frac{{18}}{5}\][/tex]
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