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.

option-B

Step-by-step explanation:

We are given

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

so,

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

now, we can plug values

Average rate of change between 2 years and 4 years:

we can use formula

now, we can plug values

Average rate of change between 4 years and 6 years:

we can use formula

now, we can plug values

Average rate of change between 6 years and 8 years:

we can use formula

now, we can plug values

now, we will check each options

option-A:

we can see that

So, this is FALSE

option-B:

So, this is TRUE

option-C:

This is FALSE

option-D:

we got

so, this is FALSE

fwms@lil_ben06

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form