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.

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

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

Distance traveled by Train B in 1 hour is

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.

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step-by-step explanation: