Question

11 Bob traveled 45 miles in 1.5 hours. The distance d and time I are in a proportional linear relationship Which graph represents this relationship?​

Answer 1

Graph (C)

Explanation:

If Bob traveled 'y' miles in 'x' hours,

Distance traveled ∝ Time taken to cover the distance

y ∝ x

y = mx

Here, m = proportionality constant Or slope of the line

Since, Bob covered 45 miles in 1.5 hours,

m =
`(45)/(1.5)`

m = 30 miles per hour

From the given graphs,

Graph (C) shows the slope =
`\frac{\text{Rise}}{\text{Run}}`

=
`(60)/(2)`

= 30 miles per hour

Therefore, Graph (C) will show the relationship.