y is inversely proportional to x². When x=4, y=7.5 Find y when x=5 (i also forgot the symbol for directly and inversely proportional and i'm pretty sure there is one)

y = 4.8

Step-by-step explanation:

Given that y is inversely proportional to x² then the equation relating them is

y = ← k is the constant of proportion

To find k use the condition when x = 4, y = 7.5 , then

7.5 = = ( multiply both sides by 16 )

k = 16 × 7.5 = 120

y = ← equation of proportion

When x = 5 , then

y = = = 4.8

7200

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