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. Create a clear and properly labeled graph of R(t) on the domain 0 ≤ t ≤ 15 months. Required:
a. Find ΔR on [1,2].
b. Find R(0).
c. Find R(10)
d. When will the population be 500 rabbits?

Answer and Step-by-step explanation: The graph is shown in the attachment.

a. ΔR on [1,2] is mathematically expressed as:

ΔR = R(2) - R(1)

which means difference of population of rabbits after 2 months and after 1 month.

R(2) =

40

Difference of rabbits between first and second months is 40.

b. R(0) = 100()

R(0) = 0

Initially, there no rabbits in the population.

c. R(10) =

R(10) = 400

In 10 months, there will be 400 rabbits.

d. R(t) = 500

t = 12.5

In 12 and half months, population of rabbits will be 500.

using pemdas, (order of operations) you'll see the answer is 24.