Question

Two trains left the station traveling in opposite directions. The distance Train A traveled is modeled by the function d(t)=81t where d represents distance in miles and t represents time in hours.
Train B traveled a total of 324 miles in 4 hours.

How does the distance Train A traveled in 1 hour compare to the distance Train B traveled in 1 hour?



The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.

The distance Train A traveled in 1 h is greater than the distance Train B traveled in 1 h.

The distance Train A traveled in 1 h is less than the distance Train B traveled in 1 h.

Answer 1

Answer:

Option A -  The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.

Step-by-step explanation:

Given : The distance Train A traveled is modeled by the function $d(t)=81t$

where d represents distance in miles and t represents time in hours.

To find : How does the distance Train A traveled in 1 hour compare to the distance Train B traveled in 1 hour?

Solution :

Distance traveled by Train A in 1 hour is

$d(t)=81t$

$d(t)=81(1)=81$

Distance traveled by Train B in 1 hour is

$d(t)=81t$

$d(t)=81(1)=81$

or for B, we have 324 miles in 4 hours. If that is at a constant speed, it travels 324/4 = 81 miles in one hour

Therefore, The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.

Hence, Option A is correct.