Suppose the Government Wants to Impose a Tax on Fossil $\ln ( 1 - \mathrm { P } ) = - 0.0039 - 0.0048 \mathrm { x }$

Multiple Choice

Suppose the government wants to impose a tax on fossil fuels to reduce carbon emissions. The cost benefit is modeled by $\ln ( 1 - \mathrm { P } ) = - 0.0039 - 0.0048 \mathrm { x }$ , where $\mathrm { x }$ 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 $x = 52$ . Round to three decimal places.

A) $- 0.19$
B) $0.224$
C) $1.776$
D) $- 0.218$