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

Answer:

Graph (C)

Step-by-step 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 = $\frac{45}{1.5}$

m = 30 miles per hour

From the given graphs,

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

                                             = $\frac{60}{2}$

                                             = 30 miles per hour

Therefore, Graph (C) will show the relationship.