Question
Ethan writes the ratio x8=y16 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
1.5 units
1.5 units
316 units
Start Fraction 3 over 16 End Fraction units
6 units
To find the value of x when y=3 units, we can set up a proportion using the provided ratio:
\( \frac{x}{8} = \frac{3}{16} \)
Cross multiply to solve for x:
\( 16x = 3(8) \)
\( 16x = 24 \)
\( x = \frac{24}{16} \)
\( x = 1.5 \) units
Therefore, the value of x when y=3 units is 1.5 units.