Ethan writes the ratio z/8=y/16 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?
A. 1.5 units
B. 6 units
C. 3/16 units
D. 0.5 units
To solve this problem, we can set up a proportion using the ratio given:
z/8 = 3/16
First, cross multiply:
16z = 24
Next, divide by 16 to solve for z:
z = 24/16
z = 1.5 units
Therefore, the value of x will be 1.5 units, which matches with option A.
So, the answer is:
A. 1.5 units