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.