Question

Two functions are represented in different ways.

Function 1: y = 32x + 45 Function 2: x y 0 65 1 85 2 105 3 125 Which statements are true? Select each correct answer.
Function 1 has a greater rate of change than function 2.
Function 2 has a greater rate of change than function 1.
Function 1 has a greater y-intercept than function 2.
Function 2 has a greater y-intercept than function 1.

Answer 1

For readability, please present tables in line by line format:

Function 2:
x y
0 65
1 85
2 105
3 125

Find the slope of this line by choosing any 2 coordinate pairs:
125-105
m = ------------ = 20
3 - 2

The y-intercept of this line is easily found, since we see that at x=0, y=65.
The equation of this line is thust y = 20x + 65.

Compare this to the other: y = 32x + 45

y = 32x + 45 has a greater rate of change than does y = 20x + 65.

Which equation has the larger y-intercept?

Choose your answer(s). I believe that more than one is correct.