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​​​​A causal and stable $\text{LTI}$ system with impulse response $h(t)$ produces an output $y(t)$ for an input signal $x(t)$. A signal $x(0.5 t)$ is applied to another causal and stable $\text{LTI}$ system with impulse response $h(0.5 t)$. The resulting output is $\_\_\_\_\_\_\_$.

  1. $2 y(0.5 t)$
  2. $4 y(0.5 t)$
  3. $0.25 y(2 t)$
  4. $0.25 y(0.25 t)$

 

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