Question

The variable b varies directly as the square root of c. If b = 100 when c = 4, which equation can be used to find other combinations of b and ca. b=25cb. b√c=50c. b=200cd. b=50√c

Answer 1

Step 1:

`\begin{gathered} b\text{ }\propto\text{ }√(c) \\ b\text{ = k}√(c) \end{gathered}`

Step 2:

Use the value b = 100 and c = 4 to find the value of k.

`\begin{gathered} Substitute\text{ b = 100 and c = 4} \\ 100\text{ = k}√(4) \\ 100\text{ = 2k} \\ \text{k = }(100)/(2) \\ \text{k = 50} \end{gathered}`

Step 3

`b\text{ = 50}√(c)`

Final answer

The equation that can be used to find other combinations of b and c is

`\text{b = 50}√(c)`

Option D