Question

Equation of Function A is y = 0.83x + 4.6

Graph of Function B passes through the points (-5,0) and (-2,3)

Which of the following statement is false regarding the rate of change of both the functions?

• A. Function B has more rate of change than function A
• B. Function A has more rate of change than function B
• C. Both have same rate of change
• D. Cannot be determined

Answer 1

The correct option is A Function B has more rate of change than function A

Equation of Function A is
y = 0.83x + 4.6

The above equation is in the form of y = mx + c

We know in the equation y = mx + c, "m" indicates the slope which is also known as the rate of change of a function.

So, Slope = rate of change of = 0.83
Function A

Let us consider Function B.


The graph passes through (-5,0) and (-2,3)

$\text{Rate of change of Function B}=\frac{\text{Change in y}}{\text{Change in x}}$

$=\frac{y_2-y_1}{x_2-x_1}$

$=\frac{3-0}{-2-(-5)}$

$=\frac{3}{3}$

$=1$

Rate of change of function B is 1.

Therefore, the rate of change is more for function B compared to Function A.