A meteorologist is monitoring the atmospheric pressure at va

A meteorologist is monitoring the atmospheric pressure at various cities whose height above sea level varies. The meteorologist determines that the atmospheric pressure decreases by 12% for each additional kilometer the city is above sea level. It has been determined that the atmospheric pressure at sea level is 103 kPa (kilopascals). a. Determine the atmospheric pressure in the following cities. i. A city located 10.7 km above sea level kPa Preview ii. A city located 7.8 km above sea level kPa Preview iii. A city located 1.9 km above sea level kPa Preview b. Define a function, kl that expresses the atmospheric pressure of the city, pb (in kPa as a function of the number of kilometers, m, the city is above sea level. Preview c. Use your graphing calculator to determine at what elevation above sea level (in kilometers) will the atmospheric level be less than 15 kPa? kilometers Preview

Solution

Solution:-Given initial pressure = 103 Kpa, decrease = 12%/km

part i: - 103 - 0.12 X 10.7 = 101.716 Kpa

part ii: - 103 - 0.12 X 7,8 = 102.064 Kpa

part iii; - 103 - 0.12 X 1.9 = 102.772 K pa

Part b: - Let x is the km

p = 103 - 0.12 x