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Question

Look at the given functions:


has the lesser rate of change.

A
Function A
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B
Function B
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C
Both
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D
Can't be determined
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Solution

The correct option is A Function A
Equation of Function A is y = 4x + 2.5

Let's calculate its rate of change.

At x = 1, y = 4×1+2.5=6.5

At x = 2, y = 4×2+2.5=10.5

Rate of change of function A = change in ychange in x

=10.5 6.52 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)

Rate of change of function B = change in ychange in x

=10 51 0

=5

Therefore, function A has the lesser rate of change.

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