The best interpretation of 0.8^a in this exponential equation is that: C. For each mile that the altitude increases, the atmospheric pressure decreases 20%.
An exponential function can be defined as a mathematical function whose values are generated by a constant that is raised to the power of the argument. Mathematically, an exponential function is represented by this formula:
f(x) = aeˣ
Based on the information provided, we can logically deduce that the atmospheric pressure (p) exerted on an airplane flying at an altitude of a miles above sea level is defined by the following exponential function:
p = 14.63 × 0.8^a
Next, we would evaluate as follows;
At a = 0, we have:
p = 14.63 × 0.8^(0)
p = 14.63 psi.
At a = 1, we have:
p = 14.63 × 0.8^(1)
p = 11.704 psi, and this is 20% less than a mile before.
At a = 2, we have:
p = 14.63 × 0.8^(2)
p = 9.3632 psi, and this is 20% less than a mile before.
At a = 2, we have:
p = 14.63 × 0.8^(3)
p = 7.4906 psi, and this is 20% less than a mile before.
Read more on an exponential function here: brainly.com/question/12940982
#SPJ1
Complete Question:
Atmospheric pressure, measured in pounds per square inch (psi) is the force exerted by Earth's atmosphere over a given area. The atmospheric pressure, p, exerted on an airplane flying at an altitude of a miles above sea level can be approximated by the model shown below. What is the best interpretation of 0.8^a in this equation?
p = 14.63 × 0.8^a
A. If the airplane reaches the outer extent of the Earth's atmosphere, the atmospheric pressure will be 0.8 psi.
B. If the airplane is at sea level, the atmospheric pressure will be 0.8 psi.
C. For each mile that the altitude increases, the atmospheric pressure decreases 20%.
D. For each mile that the altitude increases, the atmospheric pressure increases 20%.
