Question
Asked Dec 1, 2019
75 views
The size P of a certain insect population at time t​ (in days) obeys the function Upper P left parenthesis t right parenthesis equals 800 e Superscript 0.03 t Baseline .P(t)=800e0.03t.
​(a) Determine the number of insects at
t=0 days.
​(b) What is the growth rate of the insect​ population?
​(c) What is the population after 10​ days?
check_circle

Expert Answer

Step 1

Given that the size P of a certain insect population at time t​ (in days) obeys the function as below:

help_outline

Image Transcriptionclose

P(t) 800e0.03t To find: (a) Determine the number of insects at t 0 days. (b) What is the growth rate of the insect population? (c) What is the population after 10 days?

fullscreen
Step 2

a)To find number of insects at t = 0 days, we substitute t as 0 in the given function P(t).

fullscreen
Step 3

b) To determine the growth rate of the insect popu...

help_outline

Image Transcriptionclose

Note: For a population growth formula P = Poet Po initial population, P = population at time t, r = percentage of rate of growth, Now, comparing the given function P(t) = 800e0.03t with the above formula, we have r = 0.03 = 3%. Therefore, the growth rate of insect population is 3%.

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Algebra

Exponents

Related Algebra Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: find the inverse if the function is one-to-one {(18,1),(-19,-7),(16,6)}

A: Given function is  {(18,1),(-19,-7),(16,6)}.If the function is one-to-one then there exist the inver...

question_answer

Q: The officers of a high school senior class are planning to rent buses and vans for a class trip. Eac...

A: Let he should rent x buses and y vans So total students that can be transported= 80x+10yThere are at...

question_answer

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After ...

A: It is given that the number of bacteria in a culture is increasing according to the law of exponenti...

question_answer

Q: Use any method to solve the nonlinear system. (If there is no solution, enter NO SOLUTION.) x2 ...

A: Given a non-linear system of equation,

question_answer

Q: Solve the equ ati on by expressing each si de as a pow er of the same base and then equating exponen...

A: Solve the equatione(x+10)=1/e3

question_answer

Q: How do I answer 11?

A: Given that a radioactive element with the following:

question_answer

Q: A model rocket is launched with an initial velocity of 190 ft/s. The height, h, in feet, of the rock...

A: The height, h, in feet, of the rocket t seconds after the launch is given by

question_answer

Q: The current (I) in a wire varies directly as the voltage (v) and inversely as the resistance (r). If...

A: The current (I) in a wire varies directly as the voltage (v) and inversely as the resistance (r). If...

question_answer

Q: CP 12 Problem 12.3: Writing Conjectures nt Pick an odd number Square it Subtract 1 gths A. Try this ...

A: The sequence of numbers we get wil be :