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)

Question

Responses

3/16 units
Start Fraction 3 over 16 End Fraction units

0.5 units
0.5 units

1.5 units
1.5 units

6 units

Answer 1

To solve the equation \( \frac{x}{8} = \frac{y}{16} \) for \( x \) when \( y = 3 \):

1. Substitute \( y = 3 \) into the equation:

\[ \frac{x}{8} = \frac{3}{16} \]

2. Cross-multiply to solve for \( x \):

\[ 16x = 3 \cdot 8 \]

3. Calculate \( 3 \cdot 8 \):

\[ 16x = 24 \]

4. Divide both sides by 16 to solve for \( x \):

\[ x = \frac{24}{16} = \frac{3}{2} = 1.5 \]

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