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: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 [tex]d(t)=81t[/tex]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 [tex]d(t)=81t[/tex][tex]d(t)=81(1)=81[/tex]Distance traveled by Train B in 1 hour is [tex]d(t)=81t[/tex][tex]d(t)=81(1)=81[/tex]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.