Business
Engineering
Math
Science
Social ScienceThe population of a certain region grew from 17 million in 2005 to 21.7 million in 2012a. Find a function of the form P(t) = Cethat models the population growth of the region. Here, t is thenumber of years since 2005, and P(t) is in millions. Round your k value to 3 decimal places. b. Use your model to predict the population of this region in 2015. Round your answer to the nearest tenth of amillionmillion people
Image Transcriptionclose
The population of a certain region grew from 17 million in 2005 to 21.7 million in 2012 a. Find a function of the form P(t) = Ce that models the population growth of the region. Here, t is the number of years since 2005, and P(t) is in millions. Round your k value to 3 decimal places.
Image Transcriptionclose
b. Use your model to predict the population of this region in 2015. Round your answer to the nearest tenth of a million million people
Expert Answer
- Given, the population P is 17 million in 2005 and has grown to 21.7 million in 2012, let us find the formula for P(t).
Image Transcriptionclose
The function is of the form P()Cekt , where t is the number of years since 2005 We have given, in the year 2005, the population is 17 million. Then, C 17 which is the value of P when t 0. i.e. P(0) 17
Image Transcriptionclose
Let us find the value of k by substituting C 17 in Pt)=Cekt Then we have P(t)=17ekt ... (1) Now, the year 2012 corresponds to t =7. Substitute P 21.7 and t 7in equation (1) 21.7 17e7k 7k_21.7 17 =.
Math
Algebra
Applications of Mathematics
Related Algebra Q&A
Q: complete the squre -8x2-24x+16
A: Given,
Q: Number 90 I'm not sure hoto answer this
A: To graph the inequality and write the set in interval notation.
Q: Question Find the slope of the line shown below. -5 0 -5 Provide your answer below: m BFEEDBACK MORE...
A: The line passes through (1,5),(0,2)
Q: is the point (3,-5) on the graph of function f(x)=3/2x-8? yes, no, impossible to determine
A: To decide if the given point lies on the graph: in other words, does the point satisfy the given equ...
Q: Use the properties of exponents to simplify. Your answer should only contain positive exponents. Sho...
A: Given: -
Q: Represent the number you would have to add to an expression of the form x2+bx to make a complete squ...
A: A complete square would be of the form:Comparing this to the equation given:Hence the missing term f...
Q: please solve and show your work
A: Split the middle term such that the product of coefficient of x should equals the constant term.
Q: What are the blanks?
A: It is given that f (6) = 4 and f (7) = 5.So, the two points are (6,4) and (7,5).It is known that the...
Q: The foot of an extension ladder is 10 feet from a wall, while the top of the ladder reaches the top ...
A: Given that the length of the ladder is 2 feet more than the height of the wallAnd foot of the wall i...
