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) $0.335$

Question

Quizplus · Accepted Answer

To find $P$ when $x = 70$, substitute $x = 70$ into the equation: $\ln(1 - P) = -0.0025 - 0.0058(70)$. Solving this equation gives $P = 0.335$.

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

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