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:
F) 6/5
Step-by-step explanation:
6 divided by 5 = 6/5
Answer:
Slope: Be inclined from a horizontal or vertical line; slant up or down. Slope formula is m=rise/run
Y-Intercept: The vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system.
ANSWER: 18
EXPLANATION:
y=kxzw
where k is a constant
Making k the subject of the formula, we have
k=y/xzw
Inputting the values
k= 72/(2)(1)(12)
k=72/24
k = 3
Solving for y when x=1,z=2 and w=3
We have
y=kxzw
y = (3)(1)(2)(3)
y = 18
Below is the solution:
There are two equations to be solved here. The first one we assign variables to the home runs Peter hits, P, and Alice hits, A. P=2*(A-6) The second equation is the sum of both players home runs.P + A = 18Solving for P yieldsP=18-A We substitute the solution for P into the first equation and solve for A.(18-A) = 2*(A-6)18 - A = 2A - 123A = 30A = 10 Now that A is known, we can plug it into either equations for P to find how many home runs Peter hitsP=18 - (10) = 8orP=2((10)-4) = 8
