The atmospheric pressure at a given altitude is given by $y=14.7 e^{-.0000385 x}$, where $y$ is the atmospheric pressure in pounds per square inch and $x$ is the altitude, in feet. Match each question with one of the solutions A, B, C, or D.
-At what altitude is the atmospheric pressure 10 pounds per square inch?
A) Solve $\frac{1}{10}(14.7)=14.7 e^{-.0000385 x}$
B) Evaluate $14.7 e^{-.0000385(3 \cdot 10)}$
C) Solve $10=14.7 e^{-.0000385 x}$
D) Evaluate $14.7 e^{-.0000385(10)}$

Question

Quizplus · Accepted Answer

To find the altitude at which the atmospheric pressure is 10 pounds per square inch, we need to solve the equation for $x$ when $y=10$. This is directly represented by choice C, where $10=14.7 e^{-.0000385 x}$ matches the given formula with $y$ set to 10.

The Atmospheric Pressure at a Given Altitude Is Given By y=14.7