Question

Suppose that y varies directly as the square root of x and that y =25 when x =334 what is y when x =247? Round your answer to two decimal places if necessary

Answer 1

Explanation:

If y varies directly as the square root of x, then we can express this relationship as:

y = k√x

where k is the constant of proportionality.

To find the value of k, we can use the initial values given in the problem:

y = 25 when x = 334

Substituting these values into the equation above, we get:

25 = k√334

Solving for k, we have:

k = 25/√334

Now we can use this value of k to find y when x = 247:

y = k√247

Substituting the value of k, we get:

y = (25/√334)√247

Using a calculator, we can evaluate this expression to two decimal places:

y ≈ 19.24

Therefore, when x = 247, y ≈ 19.24.