Question

Consider the two functions shown here. Which function has the greater rate of change? Explain your answer.

A) Function 1, because the rate of change is 2.
B) Function 2, because the rate of change is ½.
C) Function 2, because the rate of change is 7.
D) Function 1, because the rate of change is ½ .

Answer 1

Answer: The answer is A- Function 1, because its rate of change is 2.

Answer 2

rate of change = slope

function 1 :
(0,0)(1,2)
slope = (2 - 0) /(1 - 0) = 2/1 = 2

function 2 : y = 1/2x + 7...in y = mx + b form, the slope is in the m position.
so ur slope here is 1/2.

so function 1 has a greater rate of change because it is 2.......function 2 has 1/2 rate of change