Call Now to Set Up Tutoring:

(888) 888-0446

Create an account to track your scores
and create your own practice tests:

Create an Account Create a Practice Test

Flashcards: Interpret Function Parameters: CCSS.Math.Content.HSF-LE.B.5

A school's theater department spends $\displaystyle \$500$ to produce a certain play. If the play sells tickets for $\displaystyle \$10$ each what is the function $\displaystyle P(t)$ that represents the net profit of the play?

$P(t)=-\$10t-\$500$ $\displaystyle P(t)=-\$10t-\$500$

$P(t)=-\$10t+\$500$ $\displaystyle P(t)=-\$10t+\$500$

$P(t)=\$10t+\$500$ $\displaystyle P(t)=\$10t+\$500$

$P(t)=\$10-\$500t$ $\displaystyle P(t)=\$10-\$500t$

$P(t)=\$10t-\$500$ $\displaystyle P(t)=\$10t-\$500$

Report an Error Copyright Notice

All Common Core: High School - Functions Resources

6 Diagnostic Tests 82 Practice Tests Question of the Day Flashcards Learn by Concept

Want to review Common Core: High School - Functions but don’t feel like sitting for a whole test at the moment? Varsity Tutors has you covered with thousands of different Common Core: High School - Functions flashcards! Our Common Core: High School - Functions flashcards allow you to practice with as few or as many questions as you like. Get some studying in now with our numerous Common Core: High School - Functions flashcards.

Flashcards: Interpret Function Parameters: CCSS.Math.Content.HSF-LE.B.5

$P(t)=-\$10t-\$500$ $\displaystyle P(t)=-\$10t-\$500$

$P(t)=-\$10t+\$500$ $\displaystyle P(t)=-\$10t+\$500$

$P(t)=\$10t+\$500$ $\displaystyle P(t)=\$10t+\$500$

$P(t)=\$10-\$500t$ $\displaystyle P(t)=\$10-\$500t$

$P(t)=\$10t-\$500$ $\displaystyle P(t)=\$10t-\$500$

Report an Error Copyright Notice

Flashcards: Interpret Function Parameters: CCSS.Math.Content.HSF-LE.B.5

Your answer:

$P(t)=-\$10t-\$500$ $\displaystyle P(t)=-\$10t-\$500$

Your answer:

$P(t)=-\$10t+\$500$ $\displaystyle P(t)=-\$10t+\$500$

Your answer:

$P(t)=\$10t+\$500$ $\displaystyle P(t)=\$10t+\$500$

Your answer:

$P(t)=\$10-\$500t$ $\displaystyle P(t)=\$10-\$500t$

Correct answer:

$P(t)=\$10t-\$500$ $\displaystyle P(t)=\$10t-\$500$

Explanation:

This question tests one's ability to recognize parameters of a function and one's understanding of dealing with said parameters in the context of a problem.

For the purpose of Common Core Standards, interpret parameters in a linear or exponential function in terms of a context, falls within the Cluster B of interpret expressions for functions in terms of the situation they model concept (CCSS.Math.content.HSF.LE.B).

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Identify the general function that describes the situation.

$\textup{Net Profit}=\textup{Ticket Sales Profit}-\textup{Production Costs}$ $\displaystyle \textup{Net Profit}=\textup{Ticket Sales Profit}-\textup{Production Costs}$

Recall that the ticket sales profit is the product of the price of the ticket and the number of tickets sold.

Step 2: Identify the known values.

$\\ \textup{Cost of Ticket}=\$10 \\ \textup{Production Costs}=\$500 \\ t=\textup{number of tickets sold} \\P(t)=\textup{Net Profit}$ $\displaystyle \\ \textup{Cost of Ticket}=\$10 \\ \textup{Production Costs}=\$500 \\ t=\textup{number of tickets sold} \\P(t)=\textup{Net Profit}$

Step 3: Substitute known values into general function to create P(t) $\displaystyle P(t)$.

$\\ \textup{Net Profit}=\textup{Ticket Sales Profit}-\textup{Production Costs} \\P(t)=\$10t-\$500$ $\displaystyle \\ \textup{Net Profit}=\textup{Ticket Sales Profit}-\textup{Production Costs} \\P(t)=\$10t-\$500$

Flashcards: Interpret Function Parameters: CCSS.Math.Content.HSF-LE.B.5

A school's theater department spends $\$550$ $\displaystyle \$550$ to produce a certain play. If the play sells tickets for $\$8$ $\displaystyle \$8$ each what is the function P(t) $\displaystyle P(t)$ that represents the net profit of the play?

$P(t)=\$550t-\$8$ $\displaystyle P(t)=\$550t-\$8$

$P(t)=\$10t-\$550$ $\displaystyle P(t)=\$10t-\$550$

$P(t)=\$8t-\$500$ $\displaystyle P(t)=\$8t-\$500$

$P(t)=\$500t-\$8$ $\displaystyle P(t)=\$500t-\$8$

$P(t)=\$8t-\$550$ $\displaystyle P(t)=\$8t-\$550$

Report an Error Copyright Notice

Flashcards: Interpret Function Parameters: CCSS.Math.Content.HSF-LE.B.5

Your answer:

$P(t)=\$550t-\$8$ $\displaystyle P(t)=\$550t-\$8$

Your answer:

$P(t)=\$10t-\$550$ $\displaystyle P(t)=\$10t-\$550$

Your answer:

$P(t)=\$8t-\$500$ $\displaystyle P(t)=\$8t-\$500$

Your answer:

$P(t)=\$500t-\$8$ $\displaystyle P(t)=\$500t-\$8$

Correct answer:

$P(t)=\$8t-\$550$ $\displaystyle P(t)=\$8t-\$550$

Explanation:

This question tests one's ability to recognize parameters of a function and one's understanding of dealing with said parameters in the context of a problem.

Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.

Step 1: Identify the general function that describes the situation.

$\textup{Net Profit}=\textup{Ticket Sales Profit}-\textup{Production Costs}$ $\displaystyle \textup{Net Profit}=\textup{Ticket Sales Profit}-\textup{Production Costs}$

Recall that the ticket sales profit is the product of the price of the ticket and the number of tickets sold.

Step 2: Identify the known values.

$\\ \textup{Cost of Ticket}=\$8 \\ \textup{Production Costs}=\$550 \\ t=\textup{number of tickets sold} \\P(t)=\textup{Net Profit}$ $\displaystyle \\ \textup{Cost of Ticket}=\$8 \\ \textup{Production Costs}=\$550 \\ t=\textup{number of tickets sold} \\P(t)=\textup{Net Profit}$

Step 3: Substitute known values into general function to create P(t) $\displaystyle P(t)$.

$\\ \textup{Net Profit}=\textup{Ticket Sales Profit}-\textup{Production Costs} \\P(t)=\$8t-\$550$ $\displaystyle \\ \textup{Net Profit}=\textup{Ticket Sales Profit}-\textup{Production Costs} \\P(t)=\$8t-\$550$

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

View Tutors

Luke
Certified Tutor

University of Florida, Bachelor's (in progress), Nutritional Science.

View Tutors

Mary Jane
Certified Tutor

Winthrop University, Bachelor of Science, Elementary School Teaching.

View Tutors

Shimelis
Certified Tutor

Alemaya Uniersity of Agriculture, Bachelor, Agricultural Engineering. Alemaya University, Master's/Graduate, Agricultural Eng...

Popular Subjects

Reading Tutors in Houston, Chemistry Tutors in Washington DC, Biology Tutors in Seattle, French Tutors in Dallas Fort Worth, SAT Tutors in Philadelphia, SSAT Tutors in Chicago, Chemistry Tutors in Miami, Reading Tutors in Chicago, English Tutors in Chicago, ACT Tutors in Houston

Popular Courses & Classes

MCAT Courses & Classes in Chicago, SSAT Courses & Classes in San Francisco-Bay Area, SSAT Courses & Classes in Boston, SSAT Courses & Classes in Chicago, ACT Courses & Classes in Boston, LSAT Courses & Classes in San Francisco-Bay Area, Spanish Courses & Classes in Boston, SAT Courses & Classes in San Francisco-Bay Area, ACT Courses & Classes in Houston, Spanish Courses & Classes in Chicago

Popular Test Prep

SAT Test Prep in New York City, ACT Test Prep in Denver, ISEE Test Prep in San Francisco-Bay Area, GMAT Test Prep in Phoenix, ISEE Test Prep in Denver, ACT Test Prep in Boston, SAT Test Prep in Los Angeles, ACT Test Prep in Miami, GRE Test Prep in New York City, SSAT Test Prep in Miami

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Create an account to track your scores
and create your own practice tests:

Flashcards: Interpret Function Parameters: CCSS.Math.Content.HSF-LE.B.5

All Common Core: High School - Functions Resources

Flashcards: Interpret Function Parameters: CCSS.Math.Content.HSF-LE.B.5

Flashcards: Interpret Function Parameters: CCSS.Math.Content.HSF-LE.B.5

Flashcards: Interpret Function Parameters: CCSS.Math.Content.HSF-LE.B.5

Flashcards: Interpret Function Parameters: CCSS.Math.Content.HSF-LE.B.5

Report an issue with this question