A car dealership's model predicts that the value of a certain car was $\$50,000$ when new in $2022$. The model also predicts that each year for the next $7$ years, the car's value $V$ decreased by $2\%$ of the previous year's value. Which equation best represents this model, where $x$ is the number of years after $2022$, for $x\le 7$?