Suppose the Government Wants to Impose a Tax on Fossil $\ln ( 1 - \mathrm { P } ) = - 0.0031 - 0.0045 \mathrm { x }$

Multiple Choice

Suppose the government wants to impose a tax on fossil fuels to reduce carbon emissions. The cost benefit is modeled by $\ln ( 1 - \mathrm { P } ) = - 0.0031 - 0.0045 \mathrm { x }$ , where $x$ represents the dollars of tax per ton of carbon emitted and $\mathrm { P }$ represents the percent reduction in emissions of carbon. ( $P$ is in decimal form.) Determine $P$ when $x = 44$ . Round to three decimal places.

A) 1.818
B) -0.13
C) 0.182
D) -0.177