Air traffic controllers at most airports use a radar system to identify the spee

Question

Air traffic controllers at most airports use a radar system to identify the speed, position, and other information about approaching aircraft. Using radar, an air traffic controller identifies an approaching aircraft and determines that it is 30 miles from the radar tower. Ten minutes later, she determines that the aircraft is 10 miles from the radar tower. Assume that the aircraft is approaching the radar tower directly at a constant speed.

(a) Find a linear equation that models the distance y of the aircraft from the radar tower x minutes after it was first observed.

(b) What is the speed (mi/min) of the approaching aircraft?

Explanation / Answer

we have two points ( 0, 30 )

( 10 , 10 )

finding equation

slope = (30-10) / (0-10)

= -2

equation is

y = -2x + 30

b) speed of approaching aircraft is 2 miles / minute

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