A conductor is mapping a trip and records the distance the train travels over certain time intervals. time (hours) distance (miles) 0.5 22.5 1 45 1.5 67.545 The train travels at a constant speed. What is its speed in miles per hour?

Given:

Table of values.

The train travels at a constant speed.

To find:

The speed of train in miles per hour.

Solution:

From the given table consider any two points, i.e., (0.5,22.5) and (1,45).

The train travels at a constant speed. It means, there is a linear relationship between time and distance.

The average rate of change (Slope) of a linear relationship is

So, average rate of change in distance with respect to time is 45.

Therefore, the speed of the train is 45 miles per hour.

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.

i think it will be 4feet long of what i comprehend