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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?​

11 Bob traveled 45 miles in 15 hours The distance d and time I are in a proportional linear relationship Which graph represents this relationship class=

Respuesta :

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 = [tex]\frac{45}{1.5}[/tex]

m = 30 miles per hour

From the given graphs,

Graph (C) shows the slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                                             = [tex]\frac{60}{2}[/tex]

                                             = 30 miles per hour

Therefore, Graph (C) will show the relationship.