Rachel is a stunt driver. One time during a gig where she escaped from a building about to explode she drove to get to the safe zone at 24 meters per second. After 4 seconds of driving she was 70 meters away from the safe zone. Let D (t) denote the distance to the safe zone D (measured in meters) as a function of time t (measured in seconds) writ the functions formula

Question

Mathematics

Toodles

30 January, 04:52

Rachel is a stunt driver. One time during a gig where she escaped from a building about to explode she drove to get to the safe zone at 24 meters per second. After 4 seconds of driving she was 70 meters away from the safe zone. Let D (t) denote the distance to the safe zone D (measured in meters) as a function of time t (measured in seconds) writ the functions formula

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Damian Townsend · Answer 1

first let us solve the distance of the safe zone from the building

let x = be the distance she traveled after 4 s

x = (24 m/s) (4 s)

x = 96 m

since she is 70 m away at that time. So the distance of the safe zone is 70 m + 96 m = 166 m

so the function is:

d (t) = 166 - 24t