Question

❗️❗️100 POINTS PLEASE HELP❗️❗️ Officer Franklin is on traffic duty his motorcycle is parked alongside the freeway and he’s using his radar gun to check the speed of cars.

The speed limit on the stretch of this freeway is 75 mph a sports car races by Officer Franklin causing him to lose his grip on the radar gun when he picks it back up he clocks the car at 93 mph as it passes a bridge 1/2 of a mile ahead of him. Use your knowledge of writing equations to help determine the drivers location

Answer 1

question 3:

y=93x

would equal zero when you put it that way

Answer 2

question 3:
y=93x
it is unclear what your question even means by "x hours". is it "x hours" after the car passes franklin? is it "x hours" after the car passes the bridge? i will assume the question means that it is "x hours" after the sports car passes (ask your teacher/etc.)

question 4:
We can have a linear function that models the distance of the vehicle from Franklin, y, after x hours of the stopwatch being started. Then, this linear function would have the point (0 hour, 0 mile) and also the point
(1/120 hours, 1/2 mile) since it takes that long to travel 1/2 miles.

Assuming this car does not change speed, the slope of this linear function would give the speed of the car in mph (slope = rise/run = miles/hour). So using the slope formula:

slope = (1/2 - 0) / (1/120 - 0)
= (1/2) / (1/120)
= 1/2 * 120 ... division is multiplying by reciprocal
= 60 miles per hour

The car travels at 60 miles per hour.
y = 60x is an equation that gives the car's distance from Franklin, y, after x hours of him starting the stopwatch. Since the limit is 75 mph, the vehicle is not speeding.