Question

part 1 of 2
mental math an engineer makes different - size samples of a new material. the table shows volumes and the related masses. what would be the mass of
100 cubic centimeters of the material? of 500 cubic centimeters of the material? use pencil and paper. explain how you can use mental math to find the answer.
the mass of 100 cubic centimeters of the material would be grams

Explanation:

Step1: Find the ratio of mass to volume

From the table, when \(x = 9\), \(y=90\). The ratio \(\frac{y}{x}=\frac{90}{9}=10\). Check for \(x = 14\), \(y = 140\), \(\frac{140}{14}=10\); for \(x=25\), \(y = 250\), \(\frac{250}{25}=10\). The relationship is \(y = 10x\).

Step2: Calculate the mass for \(x = 100\)

Substitute \(x = 100\) into \(y=10x\). So \(y=10\times100\).

Answer:

\(1000\)