The equation shown on the table is y=2x
Answer: The equation of the trend line is y = -2x + 24.
First, we need to find the slope. The slope is the change in y over the change in x between the points. Our points move down 4 units while moving right 2 units. So our slope would be -4/2 or just -2.
Second, we need to find the y-intercept. We are lucky because the y-intercept can be see clearly in the graph. It is (0, 24).
We can put the slope and y-intercept together to get the equation:
y = -2x + 24.
Loosely, "varies inversely" means that as one quantity increases, the other decreases. Specifically, if x and y vary inversely, then y = k/x where k is some constant (a particular number).
Another way to write that relationship is xy = k. To find the value of k for this problem, you need a numbers for x and y that go together.
Suppose x = number of children and y = number of candies (it doesn't matter what order these go in as long as you keep track!).
"When 12 children are present, 140 pieces of candy are consumed." So when x = 12, the value of y = 140.
xy = k
(12)(140) = k
1680 = k
Now, when x = 8 children,
8y = 1680
y = 210
The answer is C. The answer is C. Mean, because there are no outliers that affect the center
