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Mathematics 21 Online
OpenStudy (anonymous):

Find the rate of change between the two points (1, 6.2) and (3, 20) where x is in hours and y is in miles.

OpenStudy (anonymous):

rate of change of distance with respect to time or time with respect to distance?

OpenStudy (anonymous):

what? Im confused ;o

OpenStudy (anonymous):

change in miles/change in time gives the prior. So change of distance =13.8 and change in time =2 so the rate of change of miles per hour is 13.8/2=6.9

OpenStudy (anonymous):

Commonly it is the change in distance per unit time we are interested in, so if you are unsure what the question is asking we will assume it is that

OpenStudy (anonymous):

So all I really had to do is just find the slope of (1,6.2) (3,20) ?

OpenStudy (anonymous):

I don't really get the whole miles & hour thing?

OpenStudy (anonymous):

Correct, yes your essentially finding the slope

OpenStudy (anonymous):

miles per hour is the number that represents how far you will travel in EACH hour

OpenStudy (anonymous):

Oh okay, so how did you get 13.8 & 2?

OpenStudy (anonymous):

change in y (miles) is 13.8 and change in x (time) is 2

OpenStudy (anonymous):

20-6.8 and 3-1

OpenStudy (anonymous):

Oh okay now I get it thanks! I have one more question

OpenStudy (anonymous):

sure

OpenStudy (anonymous):

How would you do this? Write the equation of a line in slope intercept form that is perpendicular to the line y = –4x and passes through the point (2, 6).

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