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A train was traveling at a constant speed. The table below shows the distance, in miles, the train traveled for the first 4 hours. write an equation to represent the relationship between t, the time, and d, the total distance traveled by the train. SOMEONE ANSWER THIS ITS DUE TOMORROW!!

A train was traveling at a constant speed. The table below shows the distance, in-example-1
User Lethalman
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2 Answers

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The equation that represents the relationship between t, the time, and d, the total distance traveled by the train is d=95t

The table shows that the train travels 95 miles for each hour. This means that the total distance traveled is directly proportional to the time spent traveling.

Therefore, the equation that represents the relationship between t, the time, and d, the total distance traveled by the train is:

d = 95t

where:

d is the total distance traveled in miles

t is the time spent traveling in hours

This is a linear equation, which means that the relationship between distance and time is a straight line. In other words, the train travels the same distance every hour.

For example, if the train travels for 5 hours, the total distance traveled would be:

d = 95 * 5 = 475 miles

User Pawan Harariya
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0 votes

Hello!

The answer is:

The equation that represents the relationship between the time (t) and the total distance (d) is:


Distance=95(miles)/(hour)*t

Why?

From the given table, we can deduce that the traveled distance increases with a rate of 95 miles each hour. So, using that information, we can write an equation to represent the relationship between time (t), and the total distance (d).

Writing the equation, we have:

We need to consider that the speed is equal to:


v=95(mile)/(hour)

Then, the equation will be:


x=x_(o) +v*t\\x-x_(o)=v*t\\Distance=v*t

Now, substituting the speed into the equation, we have:


Distance=95(miles)/(hour)*t

Hence, the equation that represents the relationship between the time (t) and the total distance (d) is:


Distance=95(miles)/(hour)*t

Have a nice day!

User Mostafa Abdo
by
6.4k points
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