Answer: it is -1
Step-by-step explanation: rate of change can be defined as Δy/Δx, or the change in y over the change in c (commonly referred to as rise over run). By looking at the numbers we can see that the relationship modeled is linear (has a constant rate of change), so we are able to use this formula to calculate its rate of change. Simply calculate the change between any two values of y and (the associated) values of x and divide them to obtain your solution. I’m not the best at explaining math in words so here is the solution represented symbolically:
Rate of change = Δy/Δx
Δy/Δx = (y2-y1)/(x2-x1)
(y2-y1)/(x2-x1) = (1 - (-2))/(2 - 5) //the selected values for y2,y1,x2, and x1 are the last and first values for each, respectively.
3/-3 = -1
Answer:
37,371 multiplied by 206 is 7,698,426
Step-by-step explanation:
Calculator.
25 minutes (0:25) added to 7:15.
7:15 + 0:25 = 7:40
Also expressible as 15+25
He arrived at 7:40AM.
Answer: A. divided the difference of the two quantities by the sum of the two quantities.
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Explanation:
The difference of the quantities is 20-15 = 5
The sum of the quantities is 20+15 = 35
Dividing those results leads to 5/35 = 0.142857 which rounds to 0.1429
That converts to 14.29%
This is likely the path Adam took. This path is incorrect. The correct steps are shown below
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Difference = 20-15 = 5
Divide the difference over the original quantity
5/20 = 1/4 = 0.25 = 25%
We have a 25% decrease because the new quantity (15) is smaller than the old quantity (20)
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Here's another way to approach the problem
A = old value = 20
B = new value = 15
C = percent change
C = [ (B-A)/A ] * 100%
C = [ (15-20)/20 ] * 100%
C = (-5/20)*100%
C = -0.25*100%
C = -25%
The negative C value means we have a negative percent change, ie we have a percent decrease. So this is another way to get a 25% decrease.
