1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
professor190 [17]
3 years ago
12

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 rabbit

s. 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?

Mathematics
1 answer:
Savatey [412]3 years ago
3 0

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(1) = 100(\frac{2}{5}.1 )

R(1) = 100(\frac{2}{5} )

R(2) = 100(\frac{2}{5}.2 )

R(2) = 100(\frac{4}{5} )

\Delta R = 100(\frac{4}{5} )-100(\frac{2}{5} )

\Delta R = 100[\frac{4}{5} - \frac{2}{5} ]

\Delta R= 40

Difference of rabbits between first and second months is 40.

b. R(0) = 100(\frac{2}{5} .0)

R(0) = 0

Initially, there no rabbits in the population.

c. R(10) = 100(\frac{2}{5}.10 )

R(10) = 400

In 10 months, there will be 400 rabbits.

d. R(t) = 500

500=100(\frac{2}{5}.t )

\frac{500}{100}=\frac{2}{5}.t

t = \frac{500.5}{100.2}

t = 12.5

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

You might be interested in
PLEASE HELP ME ASAP!!! ITS ALMOST DUE!! ILL MARK BRAINLIEST!!
Gelneren [198K]

Answer:

4.2

Step-by-step explanation:

closest to what I counted 3

8 0
2 years ago
Please help with #2 I’m struggling and can someone please explain and give answer??!!!!
MatroZZZ [7]

Check the picture below.

8 0
2 years ago
Thank you for the person that answers this :)
Ivenika [448]

Answer:

g(x) = - 3^x

Step-by-step explanation:

G is a reflection across the x axis of the function of f(x)

g(x) = −f(x)

g(x) = - 3^x

6 0
2 years ago
A boat traveled 36 miles in 1.5 hours and then 14 miles in 0.75 hours. what is the average speed of the boat?
jeka57 [31]
Speed=distance/time
You'll have to combine like terms.
36+14=50
1.5+0.75=2.25

And then you can use the formula.
50/2.25

7 0
2 years ago
What are the intercepts???
IRINA_888 [86]

Answer:

X is intercepted at -7

Y is intercepted at 2

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • sales at flower shop were $814 this week. this is $131 less than the sales last week. what were last weeks sales?​
    9·1 answer
  • A recipe for cookies requires 2/3 cup of butter.Rama wants to make 3/4 of the recipe.how many cups of butter does she need to us
    9·1 answer
  • Paula is given a litre bottle of water during her fitness assessment at the gym she drinks 375millitres of the water how much is
    9·1 answer
  • What is the solution to the compound inequality? –6 ≤ 2x + 6 ≤ 6
    6·1 answer
  • What is the value of b in the equation below? 9 Superscript negative 8 Baseline times 9 Superscript negative 2 Baseline = a Supe
    6·2 answers
  • In 1999, the share price for General Motors stock was $144 per share but has been declining at an average rate of 14% per year.
    8·1 answer
  • 100 points!!!!!!!! A box contains 8 rings, 10 necklaces, and 4 pins. If Anya selects 1 piece at random, does NOT replace it, and
    12·1 answer
  • Favorite song? i like Liquid Smooth and Freaks
    11·2 answers
  • A) Draw a sketch to illustrate this information
    8·1 answer
  • Solve the question below
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!