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leonid [27]
2 years ago
14

20 POINTS!!!

Mathematics
2 answers:
lana [24]2 years ago
8 0

Answer:

<u>C = 963/92</u>

Step-by-step explanation:

<u>Given</u> :

  • A ∝ B
  • A ∝ 1/C

<u>Finding the constant of variation, k</u>

  • A = kB/C
  • 6 = k(10)/(15) [Given in 1st part of question]
  • 6 = 2k/3
  • 2k = 18
  • k = 9

<u>Finding C</u>

  • Using the same equation, and new values of A and B, we can find C
  • A = kB/C
  • C = kB/A
  • C = 9 x 107 / 92
  • <u>C = 963/92</u>
Crank2 years ago
3 0

Answer:

C = \frac{963}{92}

Step-by-step explanation:

given A varies directly as B and inversely as C then the equation relating them is

A = \frac{kB}{C} ← k is the constant of variation

to find k use the condition A = 6 , B = 10 , C = 15 , then

6 = \frac{x10k}{15} ( multiply both sides by 15 )

90 = 10k ( divide both sides by 10 )

9 = k

A = \frac{9B}{C} ← equation of variation

when A = 92 and B = 107 , then

92 = \frac{9(107)}{C} ( multiply both sides by C )

92C = 963 ( divide both sides by 92 )

C = \frac{963}{92}

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