Question

Look at the given functions:


has the lesser rate of change.

• A. Both
• B. Can't be determined
• C. Function A
• D. Function B

Answer 1

The correct option is C Function A

Equation of Function A is y = 4x + 2.5

Let's calculate its rate of change.

$\text{At x = 1, y =}4\times 1+2.5=6.5$

$\text{At x = 2, y =}4\times 2+2.5=10.5$

$\text{Rate of change of function A =}\frac{\text{change in y}}{\text{change in x}}$

$=\frac{10.5-6.5}{2-1}$

$=4$

Let's calculate the rate of change of function B.


Writing the above data in the pair form, we get:
(0, 5), (1,10) and (2,15)

Let us choose any two points, say (0,5) and (1,10)

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

$=\frac{10-5}{1-0}$

$=5$

Therefore, function A has the lesser rate of change.