We have that an inverse variation in a function is given by:

We must find the value of the constant k.
To do this, we substitute the values of x1 = 12, y1 = 15.
We have then:

Clearing k we have:

Substituting the value of k we have that the inverse variation is:

For y2 = 3 we have:

Clearing x2 we have:
Answer:
Answer:
a) x = -270
b) y = 304/9 or y = 33.78
c) x = -37.8
Step-by-step explanation:
y varies directly with x so y = kx
a)
y = kx
k = y/x
k = 10/-30 = -1/3
So
y = -1/3 x
If y = 90 then
90 = -1/3 x
x = 90 *(-3) = -270
b)
k = y/x
k = -19/-4.5
k = 38/9
So
y = 38/9 x
If x = - 8 then
y = 38/9 *(-8)
y = 304/9 or y = 33.78
c)
k = y/x
k = -4.3 / 12.9
k = - 1/3
So
y = -1/3 x
If y = 12.6 then
12.6 = -1/3 x
x = 12.6 *(-3)
x = -37.8
we have

Let's Isolate the variable y in each of the cases and then compare with Fiona's equation to determine the solution of the problem
case A) 
Multiply by
both sides


Divide by
both sides

therefore
the case A) is not equal to Fiona's equation
case B) 
Multiply by
both sides


Divide by
both sides

therefore
the case B) is not equal to Fiona's equation
case C) 
Multiply by
both sides


Divide by
both sides

therefore
the case C) is not equal to Fiona's equation
case D) 
Multiply by
both sides


Divide by
both sides

therefore
the case D) is equal to Fiona's equation
<u>the answer is</u>

Answer:
2.45$
Step-by-step explanation:
98/2 =49
49x5 equals 2.45
Answer:
1.56e+16
Step-by-step explanation:
You have to multiply 2,600 times 6,000,000,000,000 and that equals 1.56e+16.