Question

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

Answer 1

Answer:

Option D is correct

$d =45t$

Step-by-step explanation:

The Proportional relationship says that:

$y \propto x$

then; equation is in the form of

$y =kx$  where k is the constant of proportionality.

As per the statement:

A train travels at a constant speed and has traveled 67. 5 miles in the last 1 1/2 hours.

⇒Distance(d) = 67.5 miles

Time(t) = $\frac{1}{2} =1.5$ hours.

We have to find an equations shows the proportion relationship between the distance d, and the time, t, that the train has traveled

By definition of proportional relationship:

$d = kt$

Where d is the distance and t is the time

Substitute the given values we have;

$67.5 = 1.5k$

Divide both sides by 1.5 we have;

45 = k

⇒$d =45t$

Therefore, an equations shows the proportion relationship between the distance d, and the time, t, that the train has traveled is:

$d =45t$

Answer 2

Find the speed of the train:

67.5 mi
---------- = 45 mph
 1.5 hr

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