Y = K (z/x)
The phrase "varies directly as" means that there is a number k such that w = k(2x - 1). From the results given for w = 9 when x = 2, 9 = k(4 - 1), or k = 3. Then when w is 15, 15 = 3(2x - 1), or 15 = 6x - 3, or 6x = 15 + 3, or x = 18/6 = 3.
If y varies directly as x then k = 2.
1
If y varies directly as x and if x = 2 when y = 8 then k = 4.
Y = K (z/x)
Z = K Y / X 'K' can be any constant number.
z = 8/3.
1
x = 24
The answer is x=10. If: x=20 y=8 z=4 then: y=8/2=4 z=4*2=8 since x varies directly with y, meaning whatever happens to y, happens to x, so if y was divided by 2, then x should be divided by 2. After all, the inverse of division is multiplication.
The phrase "varies directly as" means that there is a number k such that w = k(2x - 1). From the results given for w = 9 when x = 2, 9 = k(4 - 1), or k = 3. Then when w is 15, 15 = 3(2x - 1), or 15 = 6x - 3, or 6x = 15 + 3, or x = 18/6 = 3.
Generally, if y increases as x increases, this is a hint that the quantity is directly proportional, and if y decreases as x increases, the relation might be inversely proportional. However, this is not always the case. x and y are directly proportional if y = kx, where k is a constant. x and y are inversely proportional if y = k/x, k is constant. This is the best way to tell whether the quantities are directly or inversely proportional.
Two variables, X and Y are said to be in inversely proportional is X*Y - k where k is some non-zero constant. X and Y are said to be directly proportional if X = c*Y where c is some constant.
290
If y varies directly as x then k = 2.
1