(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
Answer:
7. x = -2 +/-
8. x = 2 or x = 6
9. x = -2 +/- 
10. t = -3 +/- 
Step-by-step explanation:
7. Subtract 320 from both sides: 4(x + 2)^2 = -320
Divide by 4: (x + 2)^2 = -80
Square root both sides: x + 2 = +/-
. We need to add the imaginary i to this: +/-
= +/-
= +/- 
Subtract 2 from both sides: x = -2 +/- 
8. Add 18 to both sides: 7(x - 4)^2 = 28
Divide by 7: (x - 4)^2 = 4
Square root both sides: x - 4 = +/- 2
Add 4 to both sides: x = 4 +/- 2 ⇒ x = 2 or x = 6
9. Add 5 to both sides: -2(x + 2)^2 = 13
Divide by -2: (x + 2)^2 = -13/2
Square root both sides: x + 2 = +/-
. We again need i: +/-
= +/-
+/- 
Subtract 2 from both sides: x = -2 +/- 
10. Multiply by 5 on both sides: (t + 3)^2 = 35
Square root both sides: t + 3 = +/- 
Subtract 3: t = -3 +/- 
Hope this helps!
Start at April....60 months is 5 years.....12 x 5 = 60....leaving 2 months...so in 62 months, it is June