Chapter 6 Rational Exponents and Radical Functions - 6.6 Solve Radical Equations - 6.6 Exercises - Problem Solving - Page 458: 59

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Given: $h=62.5\sqrt[3] t+75.8$ Solve for $h$: $62.5\sqrt[3] t=h-75.8\\\sqrt[3] t=\frac{h-75.8}{62.5}\\t=(\frac{h-75.8}{62.5})^3$ The age of the elephant with a shoulder height of 150 centimeters is: $t=(\frac{150-75.8}{62.5})^3\approx1.67$ The age of the elephant with a shoulder height of 250 centimeters is: $t=(\frac{250-75.8}{62.5})^3\approx 21.65$