Question

Shelly and her family are riding the Pikes Peak Cog Railway. The table shows the approximate distances the train has covered at the end of different time periods.
PLEASE ANSWER

Based on the information in the table, which equation can be used to find the distance (d), the train will travel in any number of minutes (m)?

A. d=0.12m
B. d=0.18m
C. d=0.36m
D. d= 0.83m

Answer 1

Relationship between distance and time is A. d = 0.12m

Step-by-step explanation:

For an object moving in uniform motion (=constant velocity), the relationship between distance covered and time taken is given by

$d=vt$

where

d is the distance

v is the velocity

t is the time

Therefore, in order to find the relationship between distance and time, we have to find the velocity of the train.

This can be done by using the data of the table: in fact, the velocity is the ratio between the distance covered and the time taken to cover that distance.

Therefore, if we take for instance the last point of the table:

d = 2.4 miles (distance covered)

t = 20 minutes (time taken)

So the velocity is

$v=\frac{d}{t}=\frac{2.4}{20}=0.12 mi/min$

And therefore, the relationship between distance and time is

$d=0.12 m$

(where m is the time in minutes)

Learn more about distance, time and velocity:

brainly.com/question/8893949

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