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Rachel is a stunt driver, and she's escaping from a building that is about to explode! D represents Rachel's remaining distance (in meters) after t seconds. D=-38 t+220 How long is the distance Rachel has to drive? meters

Rachel is a stunt driver, and she's escaping from a building that is about to explode!\newlineD D represents Rachel's remaining distance (in meters) after t t seconds.\newlineD=−38t+220 D=-38 t+220 \newlineHow long is the distance Rachel has to drive?\newlinemeters

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Q. Rachel is a stunt driver, and she's escaping from a building that is about to explode!\newlineD D represents Rachel's remaining distance (in meters) after t t seconds.\newlineD=−38t+220 D=-38 t+220 \newlineHow long is the distance Rachel has to drive?\newlinemeters
  1. Understanding the equation: Understand the given equation.\newlineThe equation D=−38t+220D = -38t + 220 represents the distance Rachel has left to drive as a function of time in seconds. The term −38t-38t indicates that the distance decreases by 3838 meters every second, and 220220 is the initial distance from the building in meters.
  2. Determining the initial distance: Determine the initial distance.\newlineTo find out how long the distance Rachel has to drive is, we need to consider the initial distance before any time has passed, which means when t=0t = 0.
  3. Calculating the initial distance: Calculate the initial distance.\newlineSubstitute t=0t = 0 into the equation to find the initial distance DD.\newlineD=−38(0)+220D = -38(0) + 220\newlineD=0+220D = 0 + 220\newlineD=220D = 220
  4. Concluding the initial distance: Conclude the initial distance as the total distance Rachel has to drive. Since the initial distance is the total distance Rachel has to drive before the building explodes, we have found the answer.

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