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
What 3 digits are in the thousands period in the number 9,827,273
Arada [10]
The numbers  in the thousands period are 827
8 0
3 years ago
Read 2 more answers
HELPP now plssss!!!!!
Bumek [7]
So go down and up then look it up on the web so you can look good in it that really helps
7 0
2 years ago
A man sells a sofa for rs 3210 making a profit of 7% what would have been his profit percent if he had sold it for rs 3360?
Digiron [165]
Let x be the original cost for the sofa.
X x (1 + 0.07) =3210
X = 3000
Now we know the cost for the sofa.
Let p be the profit percent.
3000 x (1 + p) = 3360
P = 0.12
So the percentage profit is 12%
7 0
3 years ago
Karen says the functions f(×)=×+3 and g(×)= -×+7 intersect at x=2 is she correct
frez [133]

Answer:

Yes.

Step-by-step explanation:

To find the point of intersection we solve the system:

y = x + 3

y = -x + 7       Subtract:

0 = 2x - 4

2x = 4

x = 2.

She is correct.

7 0
3 years ago
Read 2 more answers
OMG PLS HELP WITH THIS IM PANICKING OMG I GOT A F IN MATH MY MOM JUST YELLED AT ME IM CRYING PLS HELP WITH THS- PLSS TELL ME WHA
denpristay [2]

Answer:

The answer to this question is $14,916

Step-by-step explanation:

18,469 - 3,553 = 14916

As he already has money for the car.

A bar model is shown in the linked picture.

7 0
3 years ago
Other questions:
  • Use multiplication to find three raios equivalent to 5 : 11.
    14·2 answers
  • in a given formation Carmen a color guard member is at 7, 10 on a planning grid a change in the color guards formation translate
    7·1 answer
  • A local restaurant advertises that the mode cost of their most popular meals is $8. If the costs of their most popular meals are
    15·2 answers
  • Write the three forms of the distance formula.
    14·1 answer
  • Question 6 (5 points)
    13·2 answers
  • What are the solutions of x^2 - 4 = 0
    8·2 answers
  • Plz help, this is for a quiz, <br><br> 32 + (5 − 2) ⋅ 4 − 6 over 3
    12·2 answers
  • Question 6 (1 point)
    6·1 answer
  • The Fernandez family has a square driveway with an area of 210.25 m2. Find the perimeter of the driveway. Round your answer to t
    6·1 answer
  • Carly has 4 feet of ribbon. She is making bows and each bow requires ⅔ ft of ribbon. How many bows can Carly make with the ribbo
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!