Answer:
Function A
Step-by-step explanation:
Given
[tex]A:\ y = 4x + 3[/tex]
[tex]B:\ y = \frac{1}{2}x + 5[/tex]
See attachment for complete question
Required
Which has a greater rate of change
A function is represented as:
[tex]y = mx + b[/tex]
Where
m is the rate of change
So, the rate of functions of A and B is
[tex]A:\ y = 4x + 3[/tex]
[tex]m_A = 4[/tex]
[tex]B:\ y = \frac{1}{2}x + 5[/tex]
[tex]m_B = \frac{1}{2}[/tex]
By comparison
[tex]m_A > m_B[/tex]
i.e.
[tex]4 > \frac{1}{2}[/tex]
Hence, function A has a greater rate of change
