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?​

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 =

m = 30 miles per hour

From the given graphs,

Graph (C) shows the slope =

                                             =

                                             = 30 miles per hour

Therefore, Graph (C) will show the relationship.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0