Can you explain to me how to solve this problem?

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Answer 1 · 2017-08-14T22:24:22

$B$ $B$ will be decreasing at a faster rate.

The slope for $A$ $A$ is $- \frac{1}{2}$ $-1/2$ . The slope for $B$ $B$ is $- \frac{2}{1}$ $- 2/1$

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

To determine the slope for $A$ $A$

$slope = \frac{y_{1} - y_{2}}{x_{1} - x_{2}}$ $"slope" = (y_1 - y _2)/ ( x_1 - x_2)$

$slope A = \frac{0 - 2}{4 - 0} = - \frac{2}{4} = - \frac{1}{2}$ $"slope A" = ( 0-2)/(4-0) = -2/4 = -1/2$

To determine the slope for $B$ $B$

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

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:

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

$\frac{2 - 0}{0 - 4} = - \frac{1}{2}$ $(2-0)/(0-4) = -1/2$

$m = - \frac{1}{2}$ $m = -1/2$

Function B:

Just pick any two coordinates to find the gradient.

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

$\frac{3 - 7}{2 - 0} = - 2$ $(3-7)/(2-0) = -2$

-2 is smaller than $- \frac{1}{2}$ $-1/2$ 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.