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

X y

2 8

3 11

4 14

Guest Apr 6, 2019

#2**+1 **

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

Another way you can do this is to note that

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

.Rom Apr 6, 2019