Question

Select the correct answer.

Answer 1

The equation in which b varies directly as the square root of c is b = 50 · √c. (Correct choice: B)

What is the equation of the direct variation between two variables?

In this problem we have a case of direct variation between two variables, which is mathematically described by a direct proportionality model, whose form and characteristics are shown below:

b ∝ √c

b = k · √c      (1)

Where k is the proportionality constant.

First, we determine the value of the constant of proportionality by substituting on b and c and clearing the variable: (b = 100, c = 4)

k = b / √c

k = 100 / √4

k = 100 / 2

k = 50

Then, the equation in which b varies directly as the square root of c is b = 50 · √c. (Correct choice: B)

To learn more on direct variation: brainly.com/question/14254277

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