I am trying to figure out if these problems are Direct Variation, Inverse Variation, or Neither. Could someone please check my answers?

m=-5p Direct

c=e/-4 Neither

c=3v Direct

r= 9/t Inverse

n=(1/2)f Direct

u=I/18 Neither

d=4t Direct

z= -0.2/t Inverse

suppose I write

c = e/-4 as c = (-1/4) e

and

u = l/18 as us = (1/8)l

now what do you think?

Inverse for both I think. Right?

No, both direct, the variable is in the numerator.

I wrote it the way I did, to point that out to you.

Notice that to be an inverse variation, the variable must be in the denominator.

To determine whether a relationship is direct variation, inverse variation, or neither, we need to assess the equation form.

1. m = -5p
This is a direct variation because it follows the form y = kx, where m is directly proportional to p.

2. c = e / -4
This is neither direct nor inverse variation because it does not fit the form of either type. In direct variation, the equation would be of the form y = kx, and in inverse variation, it would be of the form y = k / x.

3. c = 3v
This is a direct variation because it follows the form y = kx, where c is directly proportional to v.

4. r = 9 / t
This is an inverse variation because it follows the form y = k / x, where r is inversely proportional to t.

5. n = (1/2)f
This is a direct variation because it follows the form y = kx, where n is directly proportional to f.

6. u = I / 18
This is neither direct nor inverse variation as it does not fit the form of either type.

7. d = 4t
This is a direct variation because it follows the form y = kx, where d is directly proportional to t.

8. z = -0.2 / t
This is an inverse variation because it follows the form y = k / x, where z is inversely proportional to t.

Remember to look for patterns in the equation forms to determine whether the relationships are direct, inverse, or neither.