Question

If y is inversely proportional to x and y = 93 when x = 10, find y if x = 23. (Round off your answer to the nearest hundredth.

Answer 1

If y is inversely proportional to x and y = 93 when x = 10, we can find y when x = 23 by using the formula for inverse variation. y = k/x = 930/23 = 40.43

Step-by-step explanation:

If y is inversely proportional to x and y = 93 when x = 10, we can use the formula for inverse variation:

y = k/x

where k is the constant of variation.

To find the value of k, substitute the given values into the equation:

93 = k/10

Multiplying both sides of the equation by 10 gives:

930 = k

Now that we have the value of k, we can find y when x = 23:

y = k/x = 930/23 = 40.43.