Write the word or phrase that best completes each statement or answers the question.
-Suppose the government wants to impose a tax on fossil fuels to reduce carbon emissions. The cost benefit is modeled by $\ln ( 1 - P ) = - 0.0034 - 0.0047 x$, 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 $\mathrm { x } = 54$. Round to three decimal places.
A) $0.227$
B) $1.773$
C) $- 0.222$
D) $- 0.17$

Question

Quizplus · Accepted Answer

To find $P$ when $x = 54$, substitute $x$ into the equation: $\ln(1 - P) = -0.0034 - 0.0047(54)$. Solve for $P$ to get $P = 0.227$.

Write the Word or Phrase That Best Completes Each Statement ln⁡(1−P)=−0.0034−0.0047x\ln ( 1 - P ) = - 0.0034 - 0.0047 xln(1−P)=−0.0034−0.0047x

Write the Word or Phrase That Best Completes Each Statement $\ln ( 1 - P ) = - 0.0034 - 0.0047 x$