Solve the problem.
-The formula $\mathrm { P } = 14.7 \mathrm { e } ^ { - 0.21 \mathrm { x } }$ gives the average atmospheric pressure, $\mathrm { P }$, in pounds per square inch, at an altitude $x$, in miles above sea level. Find the average atmospheric pressure for an altitude of $2.3$ miles. Round your answer to the nearest tenth.
A) $9.1 \mathrm { lb } /$ in. $^ { 2 }$
B) $11.0 \mathrm { lb } / \mathrm { in } ^ { 2 }$
C) $8.4 \mathrm { lb } / \mathrm { in } ^ { 2 }$
D) $7.8 \mathrm { lb } /$ in. $^ { 2 }$

Question

Quizplus · Accepted Answer

To find the average atmospheric pressure at an altitude of 2.3 miles, substitute $x = 2.3$ into the formula: $P = 14.7e^{-0.21(2.3)}$. Calculating this gives $P \approx 9.1$ lb/in$^2$, rounding to the nearest tenth.

Solve the Problem P=14.7e−0.21x\mathrm { P } = 14.7 \mathrm { e } ^ { - 0.21 \mathrm { x } }P=14.7e−0.21x

Solve the Problem $\mathrm { P } = 14.7 \mathrm { e } ^ { - 0.21 \mathrm { x } }$