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
Answer:
C and E are not on the line.
Step-by-step explanation:
Just substitute for the x and the y and see which ordered pair fits and which does not:
If Left side of the equation = right side then the point fits.
A. y = -3
-2x+5 = -2(4) + 5 = -3 So A is on the line
B. y = 9
-2(-2) + 5 = 9 So this point does lie on the line.
C. y = 1
-2(3) + 5 = -1 No.
D. y = 7
-1(-1) + 5 = 7 YES.
E. y = 1
-2(1) + 5 = 3 NO.
Answer:
60
Step-by-step explanation:
2 times 150
