A train travels at a constant speed and has traveled 67. 5 miles in the last 1 1/2 hours. Which equation shows the proportion relationship between the distance d, and the time, t, that the train has traveled?

A. D=69t
B. d=50t
C. d=67. 5t
D. d=45t

Respuesta :

Find the speed of the train:

67.5 mi
---------- = 45 mph
 1.5 hr

Then (distance traveled) = (speed)*(time)  =>  d = (45 mph)(t)

The proportion relationship between the distance d, and the time t, that the train has traveled is, d = 45t. So the correct option is D).

Given :

Train travels at a constant speed and has traveled 67.5 miles in the last 1.5 hours.

Solution :

We know that,

[tex]\rm speed=\dfrac{distance}{time}[/tex]

[tex]\rm speed = \dfrac{67.5}{1.5}[/tex]

[tex]\rm speed = 45\;mph[/tex]

Now the distance (d) traveled by the train in time (t) is,

[tex]\rm distance = speed\times time[/tex]

[tex]d=45t[/tex]

Therefore, the proportion relationship between the distance d, and the time t, that the train has traveled is, d = 45t. So the correct option is D).

For more information, refer the link given below

https://brainly.com/question/15172156