Question

The variable m varies directly as u. If m=6 when u=9, what is the value of m when u=12

Answer 1

When u=12, m=8.

Step-by-step explanation:

The variable m varies directly as u. This means that m is equal to a constant times u. We can find this constant by using the given information: when u is 9, m is 6.

We can set up a proportion to solve for the constant:

m / u = 6 / 9

Solving for m when u is 12:

m / 12 = 6 / 9

Cross multiplying, we get:

9m = 12 * 6

Simplifying, we find that m = 8 when u = 12.