Question

Which function has a greater rate of change? Which function has the greater y-intercept?
Explain how you know.

Answer 1

Answer:

Function B

Step-by-step explanation:

Using any two pairs from the table of values given, say, (0, 1) and (4, 2):

Rate of change =  

Rate of change for function A = ¼ = 0.25

✍️Rate of change for Function B:

Equation for Function B is given in the slope-intercept format, y = mx + b.

m = slope = rate of change.

Therefore, the function, y = 0.75x - 2 has a rate of change of 0.75.

Rate of change of Function B = 0.75.

✅0.75 if greater than 0.25, therefore, Function B has the greater rate of change.