B. TRUE OR FALSE
1. In the Direct Variation, as one quantity increases the other quantity decreases.
2. In the Variation statement, K is the constant of Variation.
3. The equation y=shows Inverse Variation.
4. Given Y varies directly as X and Y= 15 when x = 5, the value of K or the constant of variation is 3.
5. Joint Variation involves 2 variables only.
6. If y varies jointly as X and Z, the value of Y when x=3 and z=9 and k= 6 is 162.
7. In the inverse Variation, as one quantity increases, the other quantity decreases.
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✒️VARIATIONS
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A. Determine if the given tables below express an inverse variation between the variables. If they do,
find the constant of variation and an equation that defines the relation.
1.
N 15 12 10 8 6
C 8 10 12 15 20
N = number of notebooks that can be bought
C = cost per book
2.
x 2 2.4 34
y 12 10 8 6
x and y are lengths and widths of rectangles with fixed area.
3.
I 120 240 360 480
P 1000 2000 3000 4000
I is the interest earned for a fixed time and P, the principal
s 12 16 20 24
t 3 4 5 6
5.
m -3 -2 4 12
N -4 -6 3 1