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If r varies jointly as s and t, and r = 8 when s = 6 and t = 4, find s when t = 16 and r = 24.

Sagot :

The value of s for the given conditions is 9/2.

What is a quadratic equation ?

Any equation that can be rewritten in standard form as where x represents an unknown, a, b, and c represent known numbers, and where a 0 is true is a quadratic equation. As there is no ax2 term when a = 0, the equation is linear rather than quadratic.

According to the given information:

r = k*s*t

k = constant of proportionality

r = 8

s = 6

t = 5

Putting the value in the equation:

8 = k x (6) x (4)

8 = 24k

k = 8 /24

k = 1/3

Now,

t = 16

r = 24

Putting the value in the equation:

r = k*s*t

24 = 1/3( x (s) x (16))

((24) x (3) )/ 16  = s

((3) x (3))/2 = s

s = 9/2

The value of s for the given conditions is 9/2.

To know more about quadratic equation visit:

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