Signal Coverage and Distance Problems

The video tutorial explains how to determine the distance over which a signal from a radio transmitter can be received while driving between two cities. It uses a graphical approach by sketching a circle on a coordinate plane and calculating the coordinates of the cities. The tutorial then solves a system of equations to find the exact and approximate distances of signal reception, emphasizing the use of algebraic methods and visualization to simplify the problem.

What is the radius of the area covered by the radio transmitter?

• 5 miles

• 10 miles

• 20 miles

• 15 miles

What is the equation of the circle representing the signal coverage area?

• x^2 + y^2 = 100

• x^2 + y^2 = 50

• x^2 + y^2 = 150

• x^2 + y^2 = 200

What are the coordinates of the first city relative to the transmitter?

• (5, 15)

• (-5, -15)

• (15, -5)

• (-15, 5)

How far is the total drive from City A to City B?

• 30 miles

• 20 miles

• 15 miles

• 27 miles

What is the equation of the line that contains the segment between the two cities?

• y = 0

• y = 15

• y = 5

• y = 10

What is the value of x when solving the system of equations for signal coverage?

• 5√3

• 10√3

• 10

• 5

What is the total length of the drive from the Y-axis to the point of signal loss?

• 5 miles

• 10 miles

• 15 miles

• 20 miles

What is the total length of the drive from the Y-axis to the point of signal gain?

• 5 miles

• 15 miles

• 10 miles

• 20 miles

What is the total distance of the drive where the signal is received?

• 10 miles

• 10√3 miles

• 15 miles

• 15√3 miles

What is the approximate decimal value of the signal coverage distance?

• 16.32 miles

• 15.32 miles

• 18.32 miles

• 17.32 miles