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.