Answer:
Given,
The total distance = [tex]2\frac{1}{4}[/tex] km,
Time = [tex]\frac{3}{4}[/tex] hours,
Since,
[tex]Speed =\frac{Distance}{Time}[/tex]
Thus, the speed of the group of hikers = [tex]\frac{2\frac{1}{4}}{\frac{3}{4}}[/tex]
[tex]=\frac{\frac{9}{4}}{\frac{3}{4}}[/tex]
= 3 km per hour,
Now, Distance = speed × time
Let y be the distance( in km ) covered in x hours
⇒ y = 3x
If x = [tex]\frac{3}{4}[/tex]
[tex]y=3\times \frac{3}{4}=\frac{9}{4}[/tex]
If x = 2
[tex]y=3\times 2=6[/tex]
If x =3
[tex]y=3\times 3 = 9[/tex]
If x = 4
[tex]y=3\times 4=12[/tex]
Hence, the required points in the coordinate plane are, ( shown in the below diagram )
(3/4, 9/4), (2, 6), (3, 9) and (4, 12)
