In inverse variation, the product of the two variables is constant. So, if p and q vary inversely, we can write this relationship as pq = k, where k is the constant of variation.

Given that p = 10 when q = -4, we can find the constant of variation:
10 * -4 = -40 = k

Now, we can use this constant to find q when p = -2:
-2 * q = -40
Solving for q, we get q = 20.

Question

In inverse variation, the product of the two variables is constant. So, if p and q vary inversely, we can write this relationship as pq = k, where k is the constant of variation.

Given that p = 10 when q = -4, we can find the constant of variation:
10 * -4 = -40 = k

Now, we can use this constant to find q when p = -2:
-2 * q = -40
Solving for q, we get q = 20.

Knowee AI · Accepted Answer

In inverse variation, the product of the two variables is constant. So, if p and q vary inversely, we can write this relationship as pq = k, where k is the constant of variation.

Given that p = 10 when q = -4, we can find the constant of variation:
10 * -4 = -40 = k

Now, we can use this constant to find q when p = -2:
-2 * q = -40
Solving for q, we get q = 20.

If p and q vary inversely, and p = 10 when q = –4, what is q when p = –2?

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