The rate at which crickets chirp, R (unit: number of chirps per minute), depends on the temperature of their environment, F (unit: degrees Fahrenheit).

Question

For a particular cricket species, this relationship can be modeled by the function R(F) = 4F - 160. The ambient temperature F is 0 ≤ t ≤ 18 and F(t) = 0.3t^2 - 5.4t + 71.8, where t is the number of hours since 6 p.m.

1. Evaluate R(F(6)) and interpret its meaning.
2. Solve R(F(t)) = 60 for t and interpret its meaning.

Answer 1