SOLUTION: a varies directly as b; and a = 4 when b = 24 a) write an equation that relates a and b b/a=24/4=6 b)find a when b=63 63/4=15.75 c) find b when a=7 24/7= 3.4286

Question 1025729: a varies directly as b; and a = 4 when b = 24
a) write an equation that relates a and b
b/a=24/4=6
b)find a when b=63
63/4=15.75
c) find b when a=7
24/7= 3.4286
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a varies directly as b; and a = 4 when b = 24
a) write an equation that relates a and b
a = k*b
Solve for "k"
4 = k*24
k = 1/6
Equation:
a = (1/6)b
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b)find a when b=63
a = (1/6)*63 = 63/6 = 10 1/2
-----------------------------
c) find b when a=7
7 = (1/6)b
b = 6*7 = 42
--------------------
Cheers,
Stan H.
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