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
Nataliya [291]
3 years ago
5

At the start of the year, 15 chameleons were introduced into a zoo. The population of chameleons is expected to grow at a rate o

f 41.42% every year. The function below models the population of chameleons in the zoo, where x represents the number of years since the chameleons were introduced into the zoo.
A. The average rate of change in the population between year 4 and year 6 was 41 more than the average rate of change in the population between year 6 and year 8.
B. The average rate of change in the population between year 2 and year 4 was approximately half the average rate of change in the population between year 4 and year 6. C. The average rate of change in the population between year 4 and year 6 was the same as the average rate of change in the population between year 6 and year 8. D. The average rate of change in the population between year 2 and year 4 was approximately double the average rate of change in the population between year 4 and year 6.
Mathematics
1 answer:
bearhunter [10]3 years ago
5 0

Answer:

option-B

Step-by-step explanation:

We are given

At the start of the year, 15 chameleons were introduced into a zoo

so, P_0=15

The population of chameleons is expected to grow at a rate of 41.42% every year

so, r=0.4142

and x represents the number of years since the chameleons were introduced into the zoo

now, we can set equation to find total population

and we get

P(x)=P_0(1+r)^x

now, we can plug values

P(x)=15(1+0.4142)^x

P(x)=15(1.4142)^x

Average rate of change between 2 years and 4 years:

we can use formula

A_1=\frac{P(4)-P(2)}{4-2}

now, we can plug values

A_1=\frac{15(1.4142)^{4}-15(1.4142)^{2}}{4-2}

A_1=14.99914

Average rate of change between 4 years and 6 years:

we can use formula

A_2=\frac{P(6)-P(4)}{6-4}

now, we can plug values

A_2=\frac{15(1.4142)^{6}-15(1.4142)^{4}}{6-4}

A_2=29.99770

Average rate of change between 6 years and 8 years:

we can use formula

A_3=\frac{P(8)-P(6)}{8-6}

now, we can plug values

A_3=\frac{15(1.4142)^{8}-15(1.4142)^{6}}{8-6}

A_3=59.99425

now, we will check each options

option-A:

we can see that

A_3-A_2=30

A_3-A_2=30

So, this is FALSE

option-B:

A_1=\frac{1}{2}A_2

So, this is TRUE

option-C:

This is FALSE

option-D:

we got

A_1=\frac{1}{2}A_2

so, this is FALSE


You might be interested in
This graph shows the relationship between x, the number of hours Mr. David
Oksi-84 [34.3K]

Answer:

I need to see the graph. Can you take a picture of the graph?

Step-by-step explanation:

4 0
2 years ago
GIVING BRAINLIEST PLEASE ANSWER NOW <br><br>what is the volume of this triangular prism​
igomit [66]

Answer:

V

≈

54.83

Step-by-step explanation:

This should be the correct answer.

8 0
3 years ago
HELP PLEASE , ASAP ; 100 POINTS
LUCKY_DIMON [66]

Answer:

icoles

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Rewrite the equation by completing the square 4x^2+20x+25=0<br><br> (x+__)^2=___
arsen [322]

Answer:

I got

x =  -  \frac{5}{2}

8 0
3 years ago
Which set best describes the numbers used on the scale for a standard thermometer?
Gnoma [55]
I believe it’s B sorry if I’m wrong
7 0
2 years ago
Other questions:
  • Why is 1/2 of 2 equal to one whole
    7·1 answer
  • Paige and Carter and collecting information about the ages of people who shop at Hank’s Groceries versus Good Foods.Paige goes t
    8·2 answers
  • Suppose that Y and Z are points on the number line.
    10·1 answer
  • The graph represents the height of a ball after being thrown versus time. Which statement is true?
    13·1 answer
  • Vector d is shown on a centimetre grid. Image attached.
    9·1 answer
  • If the quadratic equation x2 + 4x - 12 = 0 is rewritten in the form (x - p)2 = q , what is the value of q?
    12·1 answer
  • I would like to thank the people that help out in the math area, I’ve fully passed my math classes that I needed to graduate bec
    12·2 answers
  • 18 divided by 4 =_____ with _____ left over
    14·2 answers
  • Translating shapes on a graph. ^^<br> Please need help, i need to complete this now :)) <br> &lt;3
    9·1 answer
  • Please solve by BODMAS rule ​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!