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

Answers

Answer 1
Answer:

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=(P(4)-P(2))/(4-2)

now, we can plug values

A_1=(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=(P(6)-P(4))/(6-4)

now, we can plug values

A_2=(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=(P(8)-P(6))/(8-6)

now, we can plug values

A_3=(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=(1)/(2)A_2

So, this is TRUE

option-C:

This is FALSE

option-D:

we got

A_1=(1)/(2)A_2

so, this is FALSE


Answer 2
Answer:

Answer:

did u ever find an answer to this question?

Step-by-step explanation:


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Answers

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Answers

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Answer:

y=-9

Step-by-step explanation:

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Answers

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Which of the following is an example of direct variation?A) y= x - 2
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Answers

Answer:

C

Step-by-step explanation:

Direct variation is a special case of first order equations; in both cases, the input is multiplied by a constant which we call the "slope" or "constant of variation."  However, no direct variation equation includes a constant ("y-intercept").  So, if a given equation does have a y-intersect, that equation does not represent direct variation; if it does NOT have a y-intercept, that equation represents direct variation.

A)  involves a constant term, -2; NOT direct variation

B)  involves a constant term, 10; NOT direct variation

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Answers

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let y = f(x) and rearrange the equation making y the subject

add 6x + 9 to both sides

y = 6x + 9

thus f(x) = 6x + 9


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Answers

Answer:

11 days

Step-by-step explanation:

132/6 = 22

374/22 = 17

17 - 6 = 11