Which function has a greater rate of change? Please explain how you got the answer
X y
2 8
3 11
4 14
+6251 \(x = n+1\\ \dfrac{dx}{dn}=1\\ y = 5+3n\\ \dfrac{dy}{dn}=3\\ \dfrac{dy}{dn} > \dfrac{dx}{dn}\\ y \text{ has the greater rate of change}\)
Another way you can do this is to note that
\(\text{For all }n\\ x_{n+1}-x_n = 1\\ y_{n+1}-y_n = 3\\ \text{and it's seen again that }y \text{ has the greater rate of change}\)
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