Ethan writes the ratio x8=y16 to help him reduce the size of a two-dimensional shape. If the new value of y is 3 units, what will be the value of x?

Question

1. 1.5
2. 3/16
3. 6
4. 0.5

Answer 1

First, we can simplify the given ratio x8=y16 by dividing both sides by 8:

x/8 = y/16

Next, we can substitute y = 3 and solve for x:

x/8 = 3/16

Multiplying both sides by 8, we get:

x = 8 * (3/16) = 3/2 = 1.5

Therefore, the value of x is 1.5. Hence, the correct option is 1.