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Real-Life Math

You are a materials engineer. You have to decide which thickness of ceramic will hold liquid to a temperature of 500 F.

"A materials engineer needs mathematical skills. He or she has to choose the right materials and shape and size," says materials engineer Sivan Parameswaran. "Math skills are called for in almost every situation."

Here is what you know:

A ceramic that is 0.5 inches thick can withstand heat up to 500 degrees for approximately 100 uses.
A ceramic that is 0.6 inches thick can withstand 500 degrees for approximately 125 uses.
A ceramic that is 0.7 inches thick can withstand 500 degrees for 200 uses.

The bowl's size is to be 10 square inches.

The 0.5-inch ceramic costs approximately $0.50 per square inch.
The 0.6-inch ceramic costs $0.75 per square inch.
The 0.7-inch ceramic costs $0.85 per square inch.

You are producing a bowl that will be used 1,000 times.

Which thickness is the most practical for the cost?

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