Question

Given that y2 is directly proportional to the cube of x and y is always positive, find the value of y when x = 9 if y = 8 when x = 4
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Answer 1

Answer:

First find the value of the constant of proportionality k, then use that value in the case that you specify.

y = k/x [An inverse proportion]

3 = k/4

k = 12

y = 12/8First find the value of the constant of proportionality k, then use that value in the case that you specify.

y = k/x [An inverse proportion]

3 = k/4

k = 12

y = 12/8

y = 3/2 = 1.5

Step-by-step explanation:

Answer 2

Answer:

$y = k \div x \\ \\ 3 = k \div 4 \\ \\ k = 12 \\ \\ y = 12 \div 8 \\ \\ y = 3 \div 2 \\ \\ y = 1.5$