Question

If y is directly proportional to x and y = 11 when x = 6 , what is the value of y when x = 9

Answer 1

Since we are given that y is directly proportional to x and that when y = 11, x equals 6, we can set up a proportion. Before doing that however, we need to note that the question is asking for the value of y when x = 9. Here is the equation:
$\frac{11}{6} = \frac{y}{9}$
Now, just cross multiply and solve for y to get a value of 16.5. Therefore, the value of y when x = 9 is 16.5. Hope this helped and have a phenomenal day!