Chapter 6 Rational Exponents and Radical Functions - 6.1 Evaluate nth Roots and Use Rational Exponents - 6.1 Exercises - Problem Solving - Page 418: 63

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Given: $p=1.2\\s=1700$ Find k: $1.2=k(1700)^3\\\rightarrow k=\frac{1.2}{1700^3}=2.442\times10^{-10}$ The equation for horsepower is: $p=2.442\times10^{-10}s^3$ The speed of the fan if it uses 1.5 horsepower will be: $1.5=2.442\times10^{-10}s^3\\ \rightarrow s^3=\frac{1.5}{2.442\times10^{-10}s^3}=6,141,250,000\\ \rightarrow s=1,831.269 \approx1,831 \ RPM$