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Kayden is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove at a constant speed to get to the safe zone that was 160 meters away. After 3 seconds of driving, she was 85 meters away from the safe zone. Let y represent the distance (in meters) from the safe zone after x seconds. Complete the equation for the relationship between the distance and number of seconds. y=◻+ bar(+×)

Kayden is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove at a constant speed to get to the safe zone that was 160160 meters away. After 33 seconds of driving, she was 8585 meters away from the safe zone.\newlineLet y y represent the distance (in meters) from the safe zone after x x seconds.\newlineComplete the equation for the relationship between the distance and number of seconds.\newliney=□ y=\square

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Q. Kayden is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove at a constant speed to get to the safe zone that was 160160 meters away. After 33 seconds of driving, she was 8585 meters away from the safe zone.\newlineLet y y represent the distance (in meters) from the safe zone after x x seconds.\newlineComplete the equation for the relationship between the distance and number of seconds.\newliney=□ y=\square
  1. Identify Distance and Time: Identify the initial distance from the safe zone and the time it took to reach the remaining distance.\newlineInitial distance from the safe zone: 160160 meters\newlineTime taken to reach 8585 meters away from the safe zone: 33 seconds
  2. Calculate Distance Covered: Calculate the distance covered in 33 seconds.\newlineDistance covered in 33 seconds = Initial distance - Distance remaining after 33 seconds\newlineDistance covered = 160160 meters - 8585 meters\newlineDistance covered = 7575 meters
  3. Calculate Speed: Calculate the speed at which Kayden is driving.\newlineSpeed = Distance covered / Time taken\newlineSpeed = 7575 meters / 33 seconds\newlineSpeed = 2525 meters per second
  4. Formulate Linear Equation: Formulate the equation relating distance from the safe zone yy to the time xx in seconds.\newlineSince Kayden is driving at a constant speed, the relationship between the distance and time is linear.\newlineThe general form of the equation is y=mx+by = mx + b, where mm is the speed and bb is the initial distance from the safe zone.\newlineWe know the speed (mm) is −25-25 meters per second (negative because the distance from the safe zone is decreasing).
  5. Determine Initial Value: Determine the initial value bb in the equation.\newlineThe initial value is the distance from the safe zone when xx (time) is 00, which is 160160 meters.
  6. Write Final Equation: Write the final equation using the values for mm and bb.y=−25x+160y = -25x + 160This equation represents the relationship between the distance from the safe zone (yy) and the number of seconds (xx) Kayden drives.

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