Question

When x increases from a to a + 2, y increases by a difference of 8.

For which functions is this statement true?
A) y = 2(4)x
B) y = 2(8)x
C) y = 4x + 2
D) y = 8x + 2

Answer 1

Step-by-step explanation: the answer is C y= 4x + 2 (usatestprep)

Answer 2

C)
`y=4x+2`

Explanation:

let's check all the options:

• A)
  `y=2(4)x=8x`

if x = a

`y(a)=8a`

and now with x = a + 2

`y(a+2)=8(a+2)=8a+16`

the answer increased by 16. it is not the right option

• B)
  `y=2(8x)=16x`

if x = a

`y(a)=16a`

and now with x = a + 2

`y(a+2)=16(a+2)=16a+32`

the answer increased by 32. it is not the right option

• C)
  `y=4x+2`

if x = a

`y=4a+2`

and now with x = a + 2

`y(a+2)=4(a+2)+2=4a+8+2=4a+10`

this time, between
`4a+2` and
`4a+10` there is a difference of 8.

so for this function the statement is true.