Ollivander sells sheets of aluminum in a variety of thicknesses: 1.0 mm at 0.55

Question

Ollivander sells sheets of aluminum in a variety of thicknesses: 1.0 mm at 0.55 $/cm^2, 2.0 mm at 0.70 $/cm^2, and 3.0 mm at 0.85 $/cm^2 and various thickness in between all following the same linear trend. Harry needs 10.0 cm^2 of 2.2 mm thick aluminum. How much does this cost him? Express your answer in Dollars. A ring weighing 9.45 gm is placed in a graduated cylinder containing 25.3 mL of water. After the ring is added to the cylinder the water rises to 27.5 mL. What metal is the ring made out of? Assume the ring is a single metal. Titanium Copper Iron Lead Aluminum

Explanation / Answer

The plot of thickness vs cost in $ m2 is drawn and shown below.

The equation of best fit is $/m2= 0.15* thickness+0.4 = 0.15*2.2+0.4= $0.73/cm2

cost of 10cm2=0.73*10 =$7.3

2. Volumef rise of water= volume of water after addition- volume of water before addition = 27.4-25.3= 2.1 ml

density = mass/Volume= 9.45/2.1 g/ml =4.5 g/ml .The met.al is titanium

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