### 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)

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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,...

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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.

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### 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)

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