Algebra 2
posted by Lilly on .
Evaluate with nth Roots.
For mammals, the lung volume V ( in milliliters) can be modeled by V=170m^4/5 where m is the body mass ( in kilograms)/ Find the lung volume of each mammal.
Mongoose  Body Mass(kg) = 1.14
Camel  Body Mass (kg) = 229

you have the formula; plug in the number:
V(1.14) = 170 * 1.14^4/5
If you need to use nth roots, 1.14^4/5 = (1.14^1/5)^4 because n^1/5 is the 5th root
1.14^1/5 = 1.02655
1.02655^4 = 1.1105
as a check: 1.16^0.8 = 1.1105
So, V(1.14) = 170 * 1.1105 = 188.785