Urgent ! 1. which best describes the equation y/6=x? a. the relationship shows an inverse variation with a constant of variation of -6 b. the relationship shows an inverse variation with a constant of variation of -1/6 c. the relationship shows an inverse variation with a constant of variation of 1/6 d. the relationship does not show an inverse variation. 2. if y varies inversely with x and y=5 when x=2.5, what is the value of y when x=20? a. 0.1 b. 0.625 c. 0.3125 d. 1.6 3. the current, i, in a circuit varies inversely with the resistance, r. if the resistance is 12 when the current is 3, what is the resistance when the current is 6? a. 1/6 b. 1.5 c. 6 d. 24

(1)

we are given

we can  find for y

multiply both sides by 6

we can see that y is directly proportional to x

so, option-D........Answer

(2)

y varies inversely with x

so, we can write it as

now, we are given

y=5 when x=2.5

so, we can plug it here

and then we can solve for k

now, we can plug back

we can plug x=20

.............Answer

(3)

we are given

The current, I, in a circuit varies inversely with the resistance, R

so, we can write it as

we have R=12 when I=3

so, we can plug it

now, we can solve for k

now, we can plug back

we can plug R=6

................Answer

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