SOLUTION: Can you step me through this process? Given the two functions r(t) = 3t + 4 and t(s) = 2s - 5, write r as a function of s.

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Question 172782: Can you step me through this process?
Given the two functions r(t) = 3t + 4 and t(s) = 2s - 5, write r as a function of s.

Answer by vleith(2983)   (Show Source): You can put this solution on YOUR website!
You are given r as a function of t and t as a function of s. So what you need to do to find r as a function of s is to plug in the value of t on the right side of r(t)





Now try out a sample value to see that it works.
Let s=2
Then


Now use the value we got for t as input to r(t)


so, when s = 2, r = 1
Now use the equation we made



and again, when s=2 r = 1
So it works!

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