The function d(x) represents distances traveled by a train traveling at 80 mph during t hours after 1:00 pm. What does d(5) -d(2) represent

A.the distances traveled by the train by 5:00 pm
B.the distances traveled by the train for 3 hours
C.The change in distances between 2:00 pm and 5:00 pm
D.The change in distances between 3:00 pm and 6:00 pm

Respuesta :

Hi,
d(5) is the distance traveled by the train after 5 hours. 
d(2) is the distance traveled by the train after one hour. 
So, d(5)-d(S) is the the change in distances between
 2:00 pm and 5:00 pm.

Answer:

D.The change in distances between 3:00 pm and 6:00 pm

Step-by-step explanation:

The function d(x), or d(t) represents distances traveled by train traveling at 80 mph during t hours after 1:00 pm. According to this information:

d(0) = Distance traveled at 1:00 pm

d(2) = Distance traveled two hours after 1:00 pm, it means 3:00 pm.

d(4) = Distance traveled four hours after 1:00 pm, it means 5:00 pm.

d(5) = Distance traveled five hour after 1:00 pm, it means 6:00 pm.

The difference d(5) - d(2) represents the change of the distance between 3:00 pm and 6:00 pm, as was shown previously.

Finally, the answer is d(5) -d(2) represent D.The change in distances between 3:00 pm and 6:00 pm.