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

Question

Emelia Monroe

Mathematics

19 July, 05:38

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

+5

Answers (1)

Know the Answer?

Hadassah Eaton · Answer 1

That would be Option C.

Step-by-step explanation:

Lets look at y = 4x + 2:-

Let x = a then y = 4a + 2

Now if x in creases to a + 2, y = 4 (a + 2) + 2 = 4a + 8 + 2

= 4a + 10.

(4a + 10) - (4a + 2) = 8, so this is the required expression, y = 4x + 2.

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) ^xB) y = 2 (8) ^xC) y = 4x + 2D) y = 8x + 2

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