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 D represent the distance (in meters) from the safe zone after t seconds. Complete the equation for the relationship between the distance and number of seconds.

Respuesta :

[tex]d=160-25t[/tex]

Step-by-step explanation:

Let [tex]d[/tex] be the distance between Kayden and safe zone at any time.

It is given that initially [tex]d=160[/tex]

Lrt her speed be [tex]v[/tex]

Since the speed is constant,the distance covered by her in [tex]t[/tex] seconds=[tex]v\times t[/tex]

So,the distance between her and safe zone after [tex]t[/tex] seconds is [tex]160-vt[/tex]

It is given that after [tex]3[/tex] seconds,[tex]d=85[/tex]

So,[tex]160-3v=85[/tex]

[tex]3v=75[/tex]

[tex]v=25[/tex]

So,[tex]d=160-3t[/tex]

Answer:

y=-25x+160

Step-by-step explanation: