Chapter 1.2, Problem 74E

Flight navigation. The airspeed indicator on some aircraft is affected by the changes in atmospheric pressure at different altitudes. A pilot can estimate the true airspeed by observing the indicated airspeed and adding to it about $1.6\%$ for every $\text{1,000 feet}$ of altitude.

(A) A pilot maintains a constant reading of 200 miles per hour on the airspeed indicator as

the aircraft climbs from sea level to an altitude of $\text{10,000 feet}$. Write a linear equation that

expresses true airspeed $T$ (in miles per hour) in terms of altitude A (in thousands of feet).

(B) What would be the true airspeed of the aircraft at $\text{6,500 feet?}$