Can you explain to me how to solve this problem?

Question

Hazel Anglin · Accepted Answer

#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#

Eva Abramson · Answer

Function B

Slope is a synonym for gradient, so you must first understand what it means. Next, you will find the gradients of the two functions and compare them. Operation A: #(4,0)# #(0,2)# #(2-0)/(0-4) = -1/2# #m = -1/2# Operation B: To find the gradient, choose any two coordinates. #(0,7)# #(2,3)# #(3-7)/(2-0) = -2# -2 is smaller than #-1/2# therefore function B is decreasing at a greater rate. Plotting both functions is another way to accomplish this, but you can use that to double-check your solution.

Nathan Axel · Answer

undefined Of course, please provide the details of the problem you'd like assistance with, and I'll do my best to explain the solution to you.