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C is directly proportional to D
When C = 125, D = 5
a) Find an equation for C in terms of D
b) Find the value of C when D = 10
c) Find the value of D when C = 75

Sagot :

Answer:

(a)25×D=C (b)250 (c)3 answer

A. The equation for C in terms of D is C = 25D

B. The value of C when D = 10 is 250

C. The value of D when C = 75 is 3

A. How to determine the equation

From the question given above,

C ∝ D

C = KD

Divide both sides by D

K = C / D

But

C = 125

D = 5

Thus

K = C / D

K = 125 / 5

K = 25

Therefore, the equation is given as

C = KD

C = 25D

B. How to determine C when D = 10

  • D = 10
  • K = 5
  • C =?

C = 25D

C = 25 × 10

C = 250

C. How to determine D when C = 75

  • K = 5
  • C =?
  • D = ?

C = 25D

75 = 25 × D

Divide both side by 25

D = 75 / 25

D = 3

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