Answer:
Hence, Option 1 is correct equation [tex]s=4\sqrt{d}[/tex]
Step-by-step explanation:
The distance it takes a car to come to a complete stop after the brakes are applied is related to the speed that the car is traveling. the stopping distances and speeds are shown in the table.
d s
20 17.89
40 25.30
60 30.98
80 35.78
100 40.00
We will check each option for table.
[tex]s=4\sqrt{d}[/tex]
For d=20, Put d=20 into [tex]s=4\sqrt{d}[/tex]
[tex]s=4\sqrt{20}\approx 17.89[/tex]
For d=40, Put d=40 into [tex]s=4\sqrt{d}[/tex]
[tex]s=4\sqrt{40}\approx 25.30[/tex]
For d=60, Put d=60 into [tex]s=4\sqrt{d}[/tex]
[tex]s=4\sqrt{60}\approx 30.98[/tex]
For d=80, Put d=80 into [tex]s=4\sqrt{d}[/tex]
[tex]s=4\sqrt{80}\approx 35.78[/tex]
For d=100, Put d=100 into [tex]s=4\sqrt{d}[/tex]
[tex]s=4\sqrt{100}\approx 40.00[/tex]
All the value of table satisfy the first equation.
Hence, Option 1 is correct equation [tex]s=4\sqrt{d}[/tex]