When x increases from a to a + 2, y increases by a factor of 1 4 . for which functions is this statement true? a) y = 3(2)x b) y = 2x + 5 c) y = 7(0.5)x d) y = 1 2 x - 4

Option: C is correct.

Step-by-step explanation:

We are given that when x increases from 'a' to 'a+2' then y must increase by a factor of 1/4=0.25.

i.e. when x=a and x'=a+2.

then where y' is the function after putting x' to the old function.

A)

when x=a

when x'=a+2

Hence, option (A) is incorrect.

B)

when x=a

when x'=a+2

Here we do not get a factor of .

Hence, option B is incorrect.

C)

when x=a

when x'=a+2

Hence we get a factor of

Hence, option C is correct.

D)

when x=a

when x'=a+2

Here also we did not get a factor of .

Hence, option D is incorrect.

Hence, the function is:

Hence, option C is correct.

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