Considering only functions with a greater rate of change than that of the function represented on the graph, which function has the lowest rate of change? (only one answer) a) y = 13/7x - 7/3 b) y = 7/5x + 2/5 c) y = 11/8x + 3/8 d) y = 5/4x + 13/4 e) y = 5/3x - 8/3

C (1.38)

Step-by-step explanation:

The graphed function has the slope 4/3, which is obvious:  As x increases from 0 to 1.5, y increases from -2 to 0.  Thus, m = rise / run = 2/1.5 = 4/3.

Which of the given functions have greater rates of change than 4/3?  These include A (1.86), B (1.4), C (1.38), E (1.67).  Of these, C has the lowest rate of change (1.38).

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1