Select the correct answer. A rubber gasket has a circumference of 3.2 cm . When placed in service, it expands by a scale factor of 2 . What is the circumference of the gasket when in service? \[ \begin{array}{l}\text { A. } \quad 1.6 \mathrm{~cm} \\ \text { B. } \quad 6.4 \mathrm{~cm} \\ \text { D. } \quad 3.2 \mathrm{~cm} \\ \text { Dext }\end{array} \]
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When the rubber gasket expands by a scale factor of 2, you simply need to multiply its original circumference by this scale factor. So, you take the original circumference of 3.2 cm and multiply it by 2. Calculating this gives you: \[ 3.2 \, \text{cm} \times 2 = 6.4 \, \text{cm} \] Therefore, the correct answer is **B. 6.4 cm**. Now, did you know that gaskets are used in many industries, from automotive to plumbing? They help create a seal that prevents leaks of fluids and gases, so when they expand, they ensure a better fit and improved sealing performance! Also, a common mistake in calculations like these is forgetting to apply the scale factor or to misinterpret what "expand by a scale factor" means. Always double-check your factors and be sure you're multiplying when you see "scale factor"!