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2 years ago

20 POINTS!!!

Mathematics

2 answers:

lana [24]2 years ago

8 0

Answer:

C = 963/92

Step-by-step explanation:

Given :

A ∝ B
A ∝ 1/C

Finding the constant of variation, k

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

Finding C

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
C = 963/92

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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