Question

Question

Ethan writes the ratio x/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
?(1 point)
Responses

316
units
Start Fraction 3 over 16 End Fraction units

1.5 units
1.5 units

0.5 units
0.5 units

6 units
6 units
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Answer 1

To solve the equation \( \frac{x}{8} = \frac{y}{16} \) given that \( y = 3 \), we can substitute \( y \) into the equation.

1. Start by replacing \( y \) with 3: \[ \frac{x}{8} = \frac{3}{16} \]

2. To solve for \( x \), we can cross-multiply: \[ 16x = 3 \times 8 \] \[ 16x = 24 \]

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

4. Simplifying \( \frac{3}{2} \) gives us \( 1.5 \).

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