Question

PLEASE HELP! 30 points for correct answer.

y is inversely proportional to x and when x = 2, y = 1/2
a) Select the graph that shows this relationship correctly.
b) Find the value of y when x = 4.

Answer 1

Explanation:

a) In an inverse proportion, as one variable increases, the other variable decreases in a way that their product remains constant.

The correct graph for an inverse proportion would show a curve that approaches the x-axis but never touches it. This curve represents the decreasing relationship between y and x.

b) To find the value of y when x = 4, we can use the given information.

Given:

y is inversely proportional to x

When x = 2, y = 1/2

In an inverse proportion, we can write the equation as:

y = k/x

To find the constant of proportionality (k), we can substitute the values (x, y) = (2, 1/2) into the equation:

1/2 = k/2

k = 1

Now that we have the value of k, we can use it to find y when x = 4:

y = k/x

y = 1/4

Therefore, when x = 4, y = 1/4.