Question

Compare the rates of change of the following items

y = 0.25 +2
a line with y-intercept (0, 2) which
passes through the point (2.6)
A The rate of change of item I is greater than the rate of change of item I
B. The rate of change of item I is equal to the rate of change of item I
C. The rate of change of item ill is greater than the rate of change of item

Answer 1

The rate of change of a linear function is its slope, which is the coefficient of the x-term in the equation.

Item I: y = 0.25x + 2

The slope of this line is 0.25.

Item II: y = 2

This is a horizontal line with zero slope, so it has a rate of change of 0.

The slope of Item I is greater than the slope of Item II, therefore option C is correct: "The rate of change of item I is greater than the rate of change of item II".

Explanation: