### Understanding Quartic Functions in BusinessSharon was going through the financial records of her company. The profit earned by the company, $P(t)$, over time $t$ in years, for five consecutive years can be modeled by a quartic function.Each of the following functions is a different form of the quartic model for the situation given above. Which form would be most helpful if attempting to determine the time at which the company did not earn any profit?#### Select the correct function:- **A.** $P(t) = 40(t - 3)(t + 2)(t - 5)(t + 3)$- **B.** $P(t) = 40(t^2 - t - 6)(t^2 - 2t - 15)$- **C.** $P(t) = 40(t^3 - 3t^2 - 19t + 27) + 3,600$- **D.** $P(t) = 40t^4 - 120t^3 - 760t^2 + 1,080t + 3,600$**Hint:** The form most helpful for determining when the company did not earn any profit will likely be the one that showcases the roots or zeros of the function most clearly. Use the "Reset" button to clear your selection, and "Next" to proceed to the following question.![Reset](button_reset.png) ![Next](button_next.png)

Name: ### Understanding Quartic Functions in BusinessSharon was going throu
Uploaded: 2024-03-05T11:52:21.000Z
Channel: Bartleby
Description: ### Understanding Quartic Functions in BusinessSharon was going through the financial records of her company. The profit earned by the company, $P(t)$, over time $t$ in years, for five consecutive years can be modeled by a quartic function.Each

Answered: Image /qna-images/answer/5502f6d9-9e28-4364-94f9-78a06e4406aa.jpg

Math

Algebra

Sharon was going through the financial records of her company. The profit earned by the company, p(, over time t, in years, for five consecutive years can be modeled by a quartic function. Each of the following functions is a different form of the quartic model for the situation given above. Which form would be most helpful if attempting to determine the time at the which the company did not earn any profit? O A. plt) = 40(t- 3)(t+ 2)(t-5)(t+ 3) O B. p() = 40(2-t-6)(- 2t- 15) %3D OC. p(t) = 40(-3 - 19t+ 27) + 3,600 O D. p(t) = 40- 1202-7602 + 1,080t+ 3,600

Sharon was going through the financial records of her company. The profit earned by the company, p(, over time t, in years, for five consecutive years can be modeled by a quartic function. Each of the following functions is a different form of the quartic model for the situation given above. Which form would be most helpful if attempting to determine the time at the which the company did not earn any profit? O A. plt) = 40(t- 3)(t+ 2)(t-5)(t+ 3) O B. p() = 40(2-t-6)(- 2t- 15) %3D OC. p(t) = 40(-3 - 19t+ 27) + 3,600 O D. p(t) = 40- 1202-7602 + 1,080t+ 3,600

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: The weekly profit P for a widget producer is a function of the number n of widgets sold. The formula…

A: Given: It is given that the weekly profit P for a widget producer is a function of the number n of…

Q: Hello there! Would you be able to help me write the equations for these two graphed functions? I…

A: Since you have posted multiple questions I can do first question as per our company guidelines…

Q: The table shows data from 1975 and projections to 2050 of the number of millions of people age 15 to…

A: Since x represent number of years after 1970. so, take x=0 for 1970. Rewrite the table as follows:…

Q: Carrie, marine biologist is performing experiments along the continental slope off of the coast of…

A: Now the speed of the current at the depth of the robot as a function of time is,

Q: The temperature (in Celsius) as a function of time of your morning coffee you prefer) is given by…

A: We are given the equation for temperature as a function of time:Tt=12t2+10t-7 To find: The time when…

Q: The quantity supplied of a good is the amount of product that a company is willing to make available…

A: Equilibrium price: The equilibrium price of a product is defined as the quantity supplied S(p) is…

Q: , identify which key features belong to each parent function. You may format this in a manner that…

Q: Find the number of pounds of salt in the tank as a function of time.

Q: A solid rectangular beam has a height of 6 inches and a width of 4 inches. The safe load S of the…

Q: (a) Graph each of the following functions on the same screen, using the viewing rectangle [0, 1,…

A: for question a see the attachment for explanation and answerafter plotting the points on the graph…

Q: Graph f(x) = ax for a = 1 3, a = 1, and a = 3, all on the same set of axes.

A: Given: f(x)=ax We are required to: Draw the graph of the given function for a=13,a=1 and a=3.

Q: function. You can see that this function does not have an inverse because it is not one to one. The…

Q: Suppose a new breed of rabbit appears on Leroy Jenkins' farm. Initially there are 24 rabbits on the…

A: Given: Population of rabbits initially = 24 Population double each month

Concept explainers

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.

Topic Video

Question

### Understanding Quartic Functions in Business

Sharon was going through the financial records of her company. The profit earned by the company, $P(t)$, over time $t$ in years, for five consecutive years can be modeled by a quartic function.

Each of the following functions is a different form of the quartic model for the situation given above. Which form would be most helpful if attempting to determine the time at which the company did not earn any profit?

#### Select the correct function:
- **A.** $P(t) = 40(t - 3)(t + 2)(t - 5)(t + 3)$
- **B.** $P(t) = 40(t^2 - t - 6)(t^2 - 2t - 15)$
- **C.** $P(t) = 40(t^3 - 3t^2 - 19t + 27) + 3,600$
- **D.** $P(t) = 40t^4 - 120t^3 - 760t^2 + 1,080t + 3,600$

**Hint:** The form most helpful for determining when the company did not earn any profit will likely be the one that showcases the roots or zeros of the function most clearly.

Use the "Reset" button to clear your selection, and "Next" to proceed to the following question.

![Reset](button_reset.png) ![Next](button_next.png)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Application of Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

4. Use a graphing calculator or the website www.desmos.com to graph the functions below and then answer the questions that follow: 1 2 f(x) = = g(x) = – →x´ - x + 8 Functions: %3D A. How many times do these functions intersect? B. List all intersection points. Round all answers to the nearest hundredth.
Question 3.
Question 2. The UofToys company has a factory that produces toy trucks and toy cars only. The total number of toys the factory has to produce over certain period of time is 250. An analysis reveals that the production time (in seconds) to produce x trucks is given by a function 1 = -x+100. 100 the production time (in seconds) to produce x cars is given by a function Tear (x) = x² + 90. Ttruck (x): How many toy trucks and toy cars should the factory produce to minimize the total production time? (b) The company is selling each toy truck for 1000 cents and each toy car for 1500 cents. The production cost of trucks and cars is 1 cent per second of production time: that is, for example, it costs Tear (x) cents to produce x cars. How many toy trucks and toy cars should the factory produce to maximize the profit? Explain your steps.
solve the following function and give its domain y= 2(x/x+1)-1
Use the graph of y = f(x) shown to the right to graph the following function g. y3f(x) ^ g(x) = – 2. (x + 4) - 2 2) 10- Choose the correct graph below. OA. O B. C. OD. 10. 出

Find the function of the given graphs
A phone company charges $25 a month for unlimited talk, text, and 2GB of data, and $5 for every gigabyte of data above 2GB. Write an expression for the monthly phone charge, P, in dollars, as a function of the number of gigabytes of data, d, used that month. For 0 P(d) : = P(d) =
Question 1
Determine which of the following functions matches the given graph. I- 3 A. y = (z – 3)(z + 7) I - 3 B. y = (z + 3)(z + 7) 3 C. y = I+7 3 - I OD. y= (z – 3)(x + 7)
Question 1 A smart phone manufacturer is able to produce 500 amount of phone a day. If the profit for daily profit is represented by the function P(x) = -x - 800x where x is the unit sold, show that the maximum daily profit is achieved when less than 500 unit of phone are sold.