If y varies inversely as the square of x and y equals 4 when x equals 3 find y when x is 2

y = 9

Step-by-step explanation:

Given that y varies inversely as the square of x then the equation relating them is

y = ← k is the constant of variation

To find k use the condition y = 4 when x = 3

k = yx² = 4 × 3² = 4 × 9 = 36, thus

y = ← equation of variation

When x = 2 then

y = = = 9

➷ The equation is:

y = k/x^2

Input the numbers:

4 = k/(3)^2

k = 4 x (3)^2

k = 36

y = 36/(2)^2

y = 9

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

to find the unit price, we must figure out the cost of one item (in this case one dish towel).   to do this, we divide the total price ($7.92) by the number of items bought (for this problem it is 8, because there are eight dish towels in one pack).  

$7.92/8 = $0.99

therefore, the unit price, or the price of one dish towel, is $0.99.

hope this !

step-by-step explanation: