The variable b varies directly as the square root of c. lf b= 100 when c=4, which equation can be used to find other combinations of b and c?

b = 50√c

Step-by-step explanation:

If b varies directly as the square root of c, this is expressed as;

b∝√c

b = k√c

k is the constant of proportionality

Given b = 100 and c = 4

100 = k√4

100 = 2k

k = 100/2

k = 50

Substitute k = 50 into the original expression:

Recall that: b = k√c

b = 50√c

hence equation that can be used to find other combinations of b and c is b = 50√c