Question

Which function has the greater rate of change?

Function 1:
y = 5/6x + 10

Function 1

Function 2

Answer 1

Answer:

Function 1

Step-by-step explanation:

Function 1:

$y=\dfrac{5}{6}x+10$

The rate of change of the function 1 is:

$\dfrac{5}{6}\approx 0.83$

Function 2:

The rate of change of the function 2 is:

$\dfrac{15.75-14.25}{1-(1)}=\dfrac{1.5}{2}=0.75$

Hence, the greater rate of change has function 1.