What is the slope of a line that passes through the points (3,0) and (3,2)
1 answer:
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Solution: The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.
Explanation:
Let the speed of old freight train is x miles per minute and the speed of new dart express train is y miles per minute.
It is given that the speed of the dart express train is three times faster than the freight train. So, it can be written as,
....(1)
The trains are moving towards the opposite directions, therefore the distance between them is increased at the speed of miles per minute.
The distance between both train in 15 minutes is represented by .
According to the given information the distance between trains is 30 miles in 15 minutes.
Use equation (1) and put
Put this value in equation (1), to find the value of y.
Therefore, the The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.
You basically have to find the slope, to find the average rate of change, because finding the slope and finding the average rate of change is basically the same thing.
Here's the formula :
So here, all you'd have to do is simply pick two points, and insert them into this formula. Say you take the points (-2, -2) and (0,-3). You would start from the y-intercept of the second point, and insert them all into the formula.
which would turn into 
. And so since you want a good, stable number, and not just a fraction, you would divide -1 and 2, and the average rate of change would be -0.50.
AVERAGE RATE OF CHANGE : -0.50
Here's the formula :
So here, all you'd have to do is simply pick two points, and insert them into this formula. Say you take the points (-2, -2) and (0,-3). You would start from the y-intercept of the second point, and insert them all into the formula.
AVERAGE RATE OF CHANGE : -0.50