Ethan writes the ratio x8=y16

Question

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
?(1 point)
Responses

0.5 units
0.5 units

6 units
6 units

1.5 units
1.5 units

316
units

Answer 1

To solve for \( x \) in the ratio \( \frac{x}{8} = \frac{y}{16} \) when \( y = 3 \), we can set up the equation as follows:

1. Substitute \( y \) with 3 in the ratio: \[ \frac{x}{8} = \frac{3}{16} \]

2. Cross multiply to solve for \( x \): \[ 16x = 3 \times 8 \] \[ 16x = 24 \]

3. Now, divide both sides by 16: \[ x = \frac{24}{16} = \frac{3}{2} = 1.5 \]

Thus, the value of \( x \) is 1.5 units.