Suppose that r varies directly with s

Asked by maham237 @ 22/12/2020 in Mathematics viewed by 300 People

Suppose that r varies directly with s and inversely with t, and r = 2 when s = 3 and t = 12. What is the value of r when s = 5 and t = 4?
A. 2/5
B.32/5
C.10
D.20

Answered by maham237 @ 22/12/2020

The statement suppose that r varies directly with s and inversely with t is best represented as:

r α s/t

To make it into equality, we insert a proportionality constant, k:

r = ks/t

Using the initial conditions, we solve for k.

r = ks/t
r = 2 when s = 3 and t = 12

2 = k(3)/12
k = 8

Thus, when s = 5 and t = 4,

r = 8(5)/4
r = 10 -----> OPTION C

Take any three non-collinear points a b c and draw triangle a,b,c. through each vertex of the triangle draw a line parallel to the opposite side using ruler and compass

Asked by wiki @ 15/11/2022 in Mathematics viewed by 1426 persons

Suppose that r varies directly with s

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