Can you explain to me how to solve this problem?

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Answer 1 · 2017-08-14T22:24:22

$B$ will be decreasing at a faster rate.

The slope for $A$ is $-1/2$ . The slope for $B$ is $- 2/1$

$- 2/1 < -1/2$ so the slope of $-2/1$ will be steeper and decrease faster.

To determine the slope for $A$

$"slope" = (y_1 - y _2)/ ( x_1 - x_2)$

$"slope A" = ( 0-2)/(4-0) = -2/4 = -1/2$

To determine the slope for $B$

$"slope B" = { -9 - (-5)}/ (8-6) = (-4)/2 = -2/1$

Answer 2 · 2017-08-14T22:28:58

Function B

First you have understand what slope means. Slope means gradient therefore you find the gradient of both functions and compare them.

Function A:

$(4,0)$ $(0,2)$

$(2-0)/(0-4) = -1/2$

$m = -1/2$

Function B:

Just pick any two coordinates to find the gradient.

$(0,7)$ $(2,3)$

$(3-7)/(2-0) = -2$

-2 is smaller than $-1/2$ therefore function B is decreasing at a greater rate.

This can also be done by plotting both functions but you can do that as a check your answer thing.