Question

When the Olympic Games were held outside Mexico City in 1968, there was much discussion about the effect the high altitude ( feet) would have on the athletes. Assuming air pressure decays exponentially by every feet, by what percentage is air pressure reduced by moving from sea level to Mexico City?

Answer 1

Complete Question

When the Olympic Games were held outside Mexico City in 1968, there was much discussion about the effect the high altitude (7340 feet) would have on the athletes. Assuming air pressure decays exponentially by 0.5% every 100 feet, by what percentage is air pressure reduced by moving from sea level to Mexico City?

Round your answer to one decimal place.    

....... %

Answer:

The value is  $x = 73.4\%$

Step-by-step explanation:

From the question we are told that

   The  height of Mexico city is  h =  7340 feet

   The rate at which air pressure decays is  0.5% per 100 feet  

From the data given

    $0.5 \% \to 100 \ feet \\x\% \to 7340$

=>  $x = \frac{7340}{100}$

=>    $x = 73.4\%$