Question

Please answer this question.

Answer 1

B

Explanation:

given that x and y vary inversely then the equation relating them is

y =
`(k)/(x)` ← k is the constant of variation

to find k use the condition y is 24 when x is 8 , then

24 =
`(k)/(8)` ( multiply both sides by 8 to clear the fraction )

192 = k

y =
`(192)/(x)` ← equation of variation

when y = 18 , then

18 =
`(192)/(x)` ( multiply both sides by x )

18x = 192 ( divide both sides by 18 )

x =
`(192)/(18)` =
`(32)/(3)`

Answer 2

Explanation:

Write the inverse variation

y = k/x

Solve for k

y = 24

x = 8

y = k/x Substitute the givens into this equation

24 = k/8 Multiply both sides by 8

8*24 = k

k = 192

Solve for x when y = 18

y = k/x Multiply both sides by x

xy = k Divide by y

x = k/y

x = 192/18

x = 10 2/3 The answer is given as an improper fraction.

x = (10*3 + 2)/3

Answer: x = 32/3