Question

PLEASE ANSWER Which function has the greatest rate of change? A. 6x – 7y = 21 B. y = 2x – 2 C. x y 2 7 3 13 4 19 D. A linear function that goes through point 1, 2 and point 0, negative 1

Answer 1

C it has the largest rate of change

Explanation:

To find the greatest rate of change, we need the largest slope

In equation form y =mx +b where y is the slope

A. 6x – 7y = 21

Solve for y

Subtract 6x from each side

-7y = -6x+21

Divide by -7

y = 6/7x + 21/7

The slope is 6/7

B. y = 2x – 2

The slope is 2

C. x 2 3 4

y 7 13 19

slope = (y2-y1)/(x2-x1)

= (19-7)/(4-2)

= 12/2

=6

D. A linear function that goes through point 1, 2 and point 0, negative 1

(1,2) (0,-1)

slope = (y2-y1)/(x2-x1)

= (-1-2)/(0-1)

= -3/-1

=3