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

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: Functions Describing a Relationship Between Two Quantities: CCSS.Math.Content.HSF-BF.A.1

Sally wants to buy a new computer for next year. The computer that she has her eye on costs $\$1\textup,216$ . Sally works as a dog walker and gets paid $\$8$ an hour. If Sally works eight hours every week, how many weeks of work will it take for her to earn enough money to buy the new computer?

Sally will need to work weeks.

Report an Error Copyright Notice

Flashcards: Functions Describing a Relationship Between Two Quantities: CCSS.Math.Content.HSF-BF.A.1

Your answer:

Sally will need to work weeks.

Your answer:

Sally will need to work weeks.

Your answer:

Sally will need to work weeks.

Your answer:

Sally will need to work weeks.

Correct answer:

Sally will need to work weeks.

Explanation:

This question is testing one's ability to recognize functions in everyday situations and build the mathematical model that shows the relationship between two quantities. A question such as this requires examination into the behavior between the quantities, whether it be explicit expression, a recursive process, or a multi-step calculation. It also requires the use of algebraic operations to solve the question at hand and then build a function that models the relationship.

For the purpose of Common Core Standards, writing a function which describes a relationship falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.Math.content.HSF.BF.A). Questions in this cluster depend heavily of building an understanding between real life situations as seen through a mathematical perspective.

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 what the question is asking for.

Step 2: Identify what is given/known from the question.

Step 3: Using algebraic methods creating function to describe relationship.

Step 4: Answer the question.

Following the steps listed above for this particular problem is as follows.

Step 1: Identify what the question is asking for.

How many weeks will Sally need to work to earn enough money to buy the new computer?

Step 2: Identify what is given/known from the question.

The computer costs $\$1\textup,216$

Sally earns $\$$8/hour$

Sally works $8 hours/week

Step 3: Using algebraic methods creating function to describe relationship.

$\\ \textup{Cost of Computer}=\$1216 \\ \textup{Wage}= \$8\cdot \textup{hours} \\ \textup{Weekly Hours Worked}=8 \\ \textup{Cost of Computer}=\textup{Wage}\times \textup{Weekly Hours Worked}\times \textup{Weeks Worked}$

Step 4: Answer the question.

From this model, substitute in the known values and solve for the weeks worked to answer the question.

$\\ \textup{Cost of Computer}=\textup{Wage}\times \textup{Weekly Hours Worked}\times \textup{Weeks Worked} \\ \$1216=\$8\times 8\times \textup{Weeks Worked} \\ \$1216=\$64 \times \textup{Weeks Worked}$

Using algebraic operations divide by 64 on both sides to calculate the number of weeks Sally will need to work.

$\\ \frac{\$1216}{\$64}=\textup{Weeks Worked} \\ \\ 19=\textup{Weeks Worked}$

Flashcards: Functions Describing a Relationship Between Two Quantities: CCSS.Math.Content.HSF-BF.A.1

Jane wants to buy a new backpack for next year. The backpack that she has her eye on costs $\$112$ . Jane works as a car washer and gets paid $\$4$ an hour. If Jane works hours every week, how many weeks of work will it take for her to earn enough money to buy the new backpack?

Jane will need to work weeks to buy the new backpack.

Report an Error Copyright Notice

Flashcards: Functions Describing a Relationship Between Two Quantities: CCSS.Math.Content.HSF-BF.A.1

Your answer:

Jane will need to work weeks to buy the new backpack.

Your answer:

Jane will need to work weeks to buy the new backpack.

Your answer:

Jane will need to work weeks to buy the new backpack.

Your answer:

Jane will need to work weeks to buy the new backpack.

Correct answer:

Jane will need to work weeks to buy the new backpack.

Explanation:

For the purpose of Common Core Standards, writing a function which describes a relationship falls within the Cluster A of build a function that models a relationship between two quantities concept (CCSS.MATH.CONTENT.HSF.BF.A). Questions in this cluster depend heavily of building an understanding between real life situations as seen through a mathematical perspective.

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 what the question is asking for.

Step 2: Identify what is given/known from the question.

Step 3: Using algebraic methods creating function to describe relationship.

Step 4: Answer the question.

Following the steps listed above for this particular problem is as follows.

Step 1: Identify what the question is asking for.

How many weeks will Jane need to work to earn enough money to buy the new backpack?

Step 2: Identify what is given/known from the question.

The backpack costs $\$112$

Jane earns $\$$4/hour$

Jane works $3 hours/week

Step 3: Using algebraic methods creating function to describe relationship.

$\\ \textup{Cost of Backpack}=\$112 \\ \textup{Wage}= \$4\cdot \textup{hours} \\ \textup{Weekly Hours Worked}=3 \\ \textup{Cost of Backpack}=\textup{Wage}\times \textup{Weekly Hours Worked}\times \textup{Weeks Worked}$

Step 4: Answer the question.

From this model, substitute in the known values and solve for the weeks worked to answer the question.

$\\ \textup{Cost of Backpack}=\textup{Wage}\times \textup{Weekly Hours Worked}\times \textup{Weeks Worked} \\ \$112=\$4\times 3\times \textup{Weeks Worked} \\ \$112=\$12 \times \textup{Weeks Worked}$

Using algebraic operations divide by 12 on both sides to calculate the number of weeks Jane will need to work.

$\\ \frac{\$112}{\$12}=\textup{Weeks Worked} \\ \\ 9.\overline{3}=\textup{Weeks Worked}\\ \\10=\textup{Weeks Worked}$

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

Lien
Certified Tutor

University of Pedagogy Ho Chi Minh City, Bachelor of Science, Business Administration and Management. University of Houston-C...

View Tutors

Laila
Certified Tutor

Universit degli Studi di Macerata, Bachelor in Arts, Language Interpretation and Translation. Universit degli Studi Guglielmo...

View Tutors

Teagan
Certified Tutor

The University of Texas at Austin, Bachelor of Science, Physics.

Popular Subjects

Chemistry Tutors in Los Angeles, French Tutors in Los Angeles, LSAT Tutors in Denver, SSAT Tutors in Atlanta, SSAT Tutors in New York City, French Tutors in Washington DC, Physics Tutors in Philadelphia, Reading Tutors in San Francisco-Bay Area, Statistics Tutors in Houston, English Tutors in Houston

Popular Courses & Classes

GRE Courses & Classes in Phoenix, GRE Courses & Classes in San Francisco-Bay Area, LSAT Courses & Classes in Los Angeles, MCAT Courses & Classes in Miami, MCAT Courses & Classes in Phoenix, SSAT Courses & Classes in San Diego, GMAT Courses & Classes in Houston, LSAT Courses & Classes in Houston, SSAT Courses & Classes in Los Angeles, Spanish Courses & Classes in Washington DC

Popular Test Prep

MCAT Test Prep in San Francisco-Bay Area, SAT Test Prep in Atlanta, SSAT Test Prep in Philadelphia, LSAT Test Prep in Phoenix, LSAT Test Prep in Dallas Fort Worth, LSAT Test Prep in Philadelphia, SAT Test Prep in San Diego, LSAT Test Prep in Los Angeles, MCAT Test Prep in San Diego, GMAT 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:

All Common Core: High School - Functions Resources

Flashcards: Functions Describing a Relationship Between Two Quantities: CCSS.Math.Content.HSF-BF.A.1

Flashcards: Functions Describing a Relationship Between Two Quantities: CCSS.Math.Content.HSF-BF.A.1

Flashcards: Functions Describing a Relationship Between Two Quantities: CCSS.Math.Content.HSF-BF.A.1

Flashcards: Functions Describing a Relationship Between Two Quantities: CCSS.Math.Content.HSF-BF.A.1

Report an issue with this question