If x=0.8 when y=360 and y varies inversely as x, find y when x=24

y = 12

Step-by-step explanation:

given that y varies inversely as x then the equation relating them is

y = ← k is the constant of variation

To find k use the condition x = 0.8 when y = 360, hence

k = yx =360 × 0.8 = 288

y = ← equation of variation

When x = 24, then

y = = 12

1gm = 1000mg so 0.1gm = 1000mg

first, convert the weight to kg

160lb * 1kg/2.2lb = 72.7kg

next, the dose

72.7kg * 100mg/kg = 7270mg