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: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 × timeLet 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)