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Which function has a greater rate of change?                Please explain how you got the answer

 

 

 

 

X     y

2     8 
3     11
4      14

 Apr 6, 2019
 #1
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Anyone?

 Apr 6, 2019
 #2
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\(x = n+1\\ \dfrac{dx}{dn}=1\\ y = 5+3n\\ \dfrac{dy}{dn}=3\\ \dfrac{dy}{dn} > \dfrac{dx}{dn}\\ y \text{ has the greater rate of change}\)

 

Another way you can do this is to note that

 

\(\text{For all }n\\ x_{n+1}-x_n = 1\\ y_{n+1}-y_n = 3\\ \text{and it's seen again that }y \text{ has the greater rate of change}\)

.
 Apr 6, 2019
edited by Rom  Apr 6, 2019

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