According to the study conducted by the US office of Science and Technology in 1972, the cost has been estimated to reduce automobile emissions by certain percentages: Find a model that captures the "diminishing returns" trend of these data.
$
\begin{array}{|c|c|c|c|}
\hline
\text{Reduction in} & \text{Cost per} & \text{Reduction in} & \text{Cost per}\\
\text{emission (%)} & \text{car (in \$)} & \text{emission (%)} & \text{car (in \$)}\\
\hline
50 &45 &75 &90\\
55 &55 &80 &100\\
60 &62 &85 &200\\
65 &70 &90 &375\\
70 &80 &95 &600\\
\hline
\end{array}
$
The diminishing return's trend resemble an exponential model.
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