Question

A group of hikers walked 2 1/4 km in 3/4 hour. c On a coordinate plane, plot the four points showing distance hikers went in ¾ of an hour, 2 hours, 3 hours, 4 hours

Answer 1

Given,

The total distance =
`2(1)/(4)` km,

Time =
`(3)/(4)` hours,

Since,

`Speed =(Distance)/(Time)`

Thus, the speed of the group of hikers =
`(2(1)/(4))/((3)/(4))`

`=((9)/(4))/((3)/(4))`

= 3 km per hour,

Now, Distance = speed × time

Let y be the distance( in km ) covered in x hours

⇒ y = 3x

If x =
`(3)/(4)`

`y=3* (3)/(4)=(9)/(4)`

If x = 2

`y=3* 2=6`

If x =3

`y=3* 3 = 9`

If x = 4

`y=3* 4=12`

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)