Solve the Problem $\ln ( 1 - \mathrm { P } ) = - 0.0025 - 0.0058 \mathrm { x }$

Solve the problem.
-Suppose the government wants to impose a tax on fossil fuels to reduce carbon emissions. The cost benefit is modeled by $\ln ( 1 - \mathrm { P } ) = - 0.0025 - 0.0058 \mathrm { x }$ , where $x$ represents the dollars of tax per ton of carbon emitted and $\mathrm { P }$ represents the percent reduction in emissions of carbon. ( $\mathrm { P }$ is in decimal form.) Determine $\mathrm { P }$ when $\mathrm { x } = 70$ . Round to three decimal places.

A) $- 0.17$
B) $- 0.332$
C) $1.665$
D) $0.335$

Correct Answer:

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