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translate the variation statement into a mathematical statement. Use K as the constant variation.

1. P varies directly as q and r.

2.A varies directly as M and inversely as the square of F.

3. A varies jointly with b, c and d

4. The area (A) of the wall varies inversely as the amount of point (p) used to cover it.

5. The time (T) spent by the person to do the job.

6. The cost (C) of a plane trip varies directly as the distance (d) covered.

7. the weight (W) of a circular disc varies jointly as the square of its radius and it's thickness (h).

8. At a constant voltage, the electric current (I) varies directly as the resistance.

9. The number of days (y) a certain job can be completed varies inversely as the number of workers (x)

10. F varies jointly as m and n and inversely as the square of d.
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Direction: Translate the variation statement into a mathematical statement. Use k as the constant variation.

Answer:

  1. [tex]P = kqr[/tex]
  2. [tex]A = \frac{kM}{ {F}^{2} } [/tex]
  3. [tex]A = kbcd[/tex]
  4. [tex]A = \frac{k}{p} [/tex]
  5. [tex]T = ?(incomplete \: given)[/tex]
  6. [tex]C = kd[/tex]
  7. [tex]W = k {r}^{2}h [/tex]
  8. [tex]l = kr[/tex]
  9. [tex]y = \frac{k}{x} [/tex]
  10. [tex]F = \frac{kmn}{ {d}^{2} } [/tex]

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