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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!\newlineDD represents Rachel's remaining distance (in meters) after tt seconds.\newlineD=38t+220D=-38t+220\newlineHow long is the distance Rachel has to drive?\newline\square meters

Full solution

Q. Rachel is a stunt driver, and she's escaping from a building that is about to explode!\newlineDD represents Rachel's remaining distance (in meters) after tt seconds.\newlineD=38t+220D=-38t+220\newlineHow long is the distance Rachel has to drive?\newline\square meters
  1. Equation for Rachel's Distance: We have the equation for Rachel's remaining distance DD after tt seconds: D=38t+220D = -38t + 220. To find out how long the distance Rachel has to drive, we need to find out when DD equals 00.
  2. Set Equation to 00: Set the equation to 00 and solve for tt: 0=38t+2200 = -38t + 220.
  3. Add 38t38t: Add 38t38t to both sides: 38t=22038t = 220.
  4. Divide by 3838: Divide both sides by 3838 to solve for tt: t=22038t = \frac{220}{38}.
  5. Calculate Final Time: Calculate tt: t=5.78947368421t = 5.78947368421. Oops, we need a whole number for the seconds, so we round down to the nearest whole number, t=5t = 5 seconds.

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