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Math·Advanced Math·Nonlinear functions

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The relationship between the variables $x$ and $y$ is defined by an exponential equation. When $x=0$, the value of $y$ is $40$, and for every increase in the value of $x$ by $1$, the corresponding value of $y$ increases by $50\%$ of its previous value. Which equation represents this relationship?

A

$y=40(1.50{)}^x$

B

$y=40(1.05{)}^x$

C

$y=50(1.40{)}^x$

D

$y=50(1.04{)}^x$