a persons mass while dieting decreases by 5 %. exercise creates muscle and reduces fat, causing the person's density to increase by 2%. calculate the percent change in the persons volume.
Initially, density = mass/volume, that is:
d=m/v
Now, Mass decreases by 5% => new mass = (95/100)m
Density increases by 2% => new density = (102/100)d
So, new volume = new mass/ new density = (95/102)v
Change in volume = v - (95/102)v = (7/102)v
Percent change = (7/102) x 100 = 6.86 %
W@W.
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Verified answer
Initially, density = mass/volume, that is:
d=m/v
Now, Mass decreases by 5% => new mass = (95/100)m
Density increases by 2% => new density = (102/100)d
So, new volume = new mass/ new density = (95/102)v
Change in volume = v - (95/102)v = (7/102)v
Percent change = (7/102) x 100 = 6.86 %
W@W.