Answer:

Step-by-step explanation:
The table shows how the time it takes a train to travel between two cities depends on its average speed.
function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour
y represents the time
and x represents the average speed
WE know distance = speed * times
LEts find the distance using the table
distance = 32* 5= 160
40*4= 160
50*3.2 = 160
Time = distance / speed
times is y , distance is 160 and speed is x

Answer:
OPTION B: 162, 486, 1458
Step-by-step explanation:
The given sequence is 2, 6, 18, 54, . . .
It is a geometric sequence and the common difference is 3.
The general form of a geometric sequence is: a, ar, ar², ar³, . . .
Here a = 2 and r = 3.
term of a Geometric progression is
.
Note that the fourth term is 54.
i.e., 
.
Similarly,
.
Also,
.
Hence, OPTION B is the answer.
Answer:
200
Step-by-step explanation:
Answer:
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator. GCD of 1 and 6 is
1 ÷ 16
Reduced fraction: 16. Therefore, 1/6 simplified to lowest terms is 1/6.