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Common Core: High School - Functions : Interpret Function Parameters: CCSS.Math.Content.HSF-LE.B.5

Study concepts, example questions & explanations for Common Core: High School - Functions

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All Common Core: High School - Functions Resources

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Example Questions

Example Question #351 : High School: Functions

A school's art department receives $\$380$ in donation on art supplies. If the department sells each art piece for $\$11$ each what is the function A(t) that represents the net profit of the art department?

Possible Answers:

$A(t)=\$11+\$380t$

$A(t)=\$11t-\$380$

$A(t)=\$11+\$380$

$A(t)=\$11-\$380t$

$A(t)=\$11t+\$380$

Correct answer:

$A(t)=\$11t+\$380$

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.

$\textup{Net Profit}=\textup{Art Sales Profit}+\textup{Donations}$

Recall that the art sales profit is the product of the price of the art piece and the number of pieces sold.

Step 2: Identify the known values.

$\\ \textup{Cost of an art piece}=\$11 \\ \textup{Donations}=\$380 \\ t=\textup{number of art pieces sold} \\A(t)=\textup{Net Profit}$

Step 3: Substitute known values into general function to create A(t) .

$\\ \textup{Net Profit}=\textup{Art Sales Profit}-\textup{Donations} \\A(t)=\$11t+\$380$

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Example Question #12 : Interpret Function Parameters: Ccss.Math.Content.Hsf Le.B.5

A school's art department receives $\$200$ in donation on art supplies. If the department sells each art piece for $\$4$ each what is the function A(t) that represents the net profit of the art department?

Possible Answers:

$A(t)=\$4t+\$200$

$A(t)=\$4+\$200$

$A(t)=\$4-\$200t$

$A(t)=\$4t-\$200$

$A(t)=\$4+\$200t$

Correct answer:

$A(t)=\$4t+\$200$

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.

$\textup{Net Profit}=\textup{Art Sales Profit}+\textup{Donations}$

Recall that the art sales profit is the product of the price of the art piece and the number of pieces sold.

Step 2: Identify the known values.

$\\ \textup{Cost of an art piece}=\$4 \\ \textup{Donations}=\$200 \\ t=\textup{number of art pieces sold} \\A(t)=\textup{Net Profit}$

Step 3: Substitute known values into general function to create A(t) .

$\\ \textup{Net Profit}=\textup{Art Sales Profit}-\textup{Donations} \\A(t)=\$4t+\$200$

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Common Core: High School - Functions : Interpret Function Parameters: CCSS.Math.Content.HSF-LE.B.5

Study concepts, example questions & explanations for Common Core: High School - Functions

All Common Core: High School - Functions Resources

Example Questions

Example Question #351 : High School: Functions

Example Question #12 : Interpret Function Parameters: Ccss.Math.Content.Hsf Le.B.5

All Common Core: High School - Functions Resources

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