A population of rabbits is described by the function R(t) = 100(2t/5), where t is measured in months and R is measured in rabbits.
1. When will the population be 500 rabbits? Your answer must be accurate to one decimal place.
2. If R(t) = 300, what is t? Your answer must be accurate to three decimal places.
3. Find the change in R on the interval 0 ≤ t ≤ 10 months.
4. Find ΔR on [1,2]. Round your answer to the nearest whole number.
5. Find the average rate of change of R on the interval 5 ≤ t ≤ 7 months. Your answer must be accurate to two decimal places.
6. Find ΔR/Δt on [2,5]. Your answer must be accurate to one decimal place.