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
g100num [7]
3 years ago
15

Edward is collecting data on the average length of lizards from head to tail for a particular generation. Initially, the average

length of the lizards was 20 centimeters, and the lizards grew at a relatively fast rate. Two years later, the average length of the lizards was about 22.197 centimeters. With each passing year, the lizards still increased in length, but the growth rate slowed considerably. Which equation in the general form of a natural logarithmic function, , represents the average length of lizards in this generation? (Hint: The graph passes through the point (h + 1,k).)
Mathematics
1 answer:
Zina [86]3 years ago
3 0

Answer:

The general form of a natural logarithmic function is <em>f(x)=a In(x-h) +k.</em> Since the initial average length of the lizards was 20 centimeters, one possible point (h+1,k) through which the function passes is (0,20).

In this case, h= -1 since h +1 = 0 and k = 20.

It follows that x - h = (-1) = x + 1.

So, the function takes the form <em>f(x) = a In(x + 1) +20. </em>

The average length of the lizards after 2 years is 22.197. So f(2) =22.197. We substitute this value into the function

Step-by-step explanation:

<em>f(2) = a In(2 +1) +20 </em>

<em>22.197 = a In(3) + 20 </em>

<em></em>\frac{2.197}{1.099}<em>≈ a </em>

<em>2 ≈ a</em>

So the function that represents the average length of the lizards across this generation is <em>f(x) = 2 In(x+1) +20 </em>

You might be interested in
In a candy box, there are 5 times as many candies with nuts as candies without nuts. There are 30 candies in the box. How many c
Luden [163]

Answer:

90

Step-by-step explanation:

because there are 5 time as many candies with nuts as candies without nuts and there is 18 so it will be 18×5=90

6 0
3 years ago
PLEASE HELP ME!
DIA [1.3K]
<span>Which ordered pair is the best estimate for the solution to the system?
</span>A. (2, −6.5)
6 0
3 years ago
Read 2 more answers
Which situation relates to the graph?
enyata [817]
D because there are 10 gallons of gas remaining as you can see on the y axis and 10 gallons is being used for each 10 miles because 10 x 10 is 100 and the graph is counting up by 10
8 0
2 years ago
One movie is 120 minutes long. Another is 100 minutes long.
steposvetlana [31]

Answer:

5:20pm

Step-by-step explanation:

120+100=320minutes

320/60=5hrs 20min

12+5:20= 17:20pm or 5:20pm

6 0
2 years ago
Make t the subject of k= t-e/2
Sophie [7]

Answer:

t=k+\frac{e}{2}

Step-by-step explanation:

k=t-\frac{e}{2}\\t=k+\frac{e}{2}

5 0
2 years ago
Other questions:
  • Starting in the year 2012, the number of speeding tickets issued each year in Middletown is predicted to grow according to an ex
    12·1 answer
  • Need help quickly (:
    5·2 answers
  • 4,193x381=1,597,000 why is this product incorrect
    9·1 answer
  • How do I solve this problem
    14·1 answer
  • A department store wraps gifts for its customers. What is the amount of wrapping paper it would take to wrap a gift box with a w
    13·1 answer
  • What is the value of the expression? 3 x [(30 - 8) divided by 2 + 2]
    14·1 answer
  • What’s 1,234,948 rounded to the nearest 1,000,000
    15·1 answer
  • If you were to use the substitution method to solve
    10·2 answers
  • PLEASE HELP .!!! ILL GIVE BRAINLIEST.. *EXRTA POINTS* .. DONT SKIP :(( ! <br> ILL GIVE 40 POINTS .
    14·1 answer
  • How do you solve this?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!