### All Common Core: High School - Functions Resources

## Example Questions

### Example Question #1 : Average Rate Of Change: Ccss.Math.Content.Hsf If.B.6

Diane, Jane, and Hector participated in a relay race. The following table shows the distance they each ran and the amount of time it took them.

Who had the fastest pace?

**Possible Answers:**

**Correct answer:**

This question is testing one's ability interpret a table and identify the rate of change.

For the purpose of Common Core Standards, "calculate and interpret the average rate of change of a function over a specific interval" falls within the Cluster B of "interpret functions that arise in applications in terms of the context" concept (CCSS.MATH.CONTENT.HSF-IF.B.5).

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 average rate of change formula for calculations.

In the particular case, to find the fastest pace person, there will need to an average rate of change calculation done for each person to find their mile pace.

Step 2: Calculate the mile pace for Diane, Jane, and Hector.

Using the information provided by the table, calculate the pace of each individual.

Step 3: Compare the paces to arrive at a solution.

Since,

therefore Diane had the fastest pace for the relay.

### Example Question #2 : Average Rate Of Change: Ccss.Math.Content.Hsf If.B.6

Diane, Jane, and Hector participated in a relay race. The following table shows the distance they each ran and the amount of time it took them.

Who had the slowest pace?

**Possible Answers:**

**Correct answer:**

This question is testing one's ability interpret a table and identify the rate of change.

For the purpose of Common Core Standards, "calculate and interpret the average rate of change of a function over a specific interval" falls within the Cluster B of "interpret functions that arise in applications in terms of the context" concept (CCSS.MATH.CONTENT.HSF-IF.B.5).

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 average rate of change formula for calculations.

In the particular case, to find the fastest pace person, there will need to an average rate of change calculation done for each person to find their mile pace.

Step 2: Calculate the mile pace for Diane, Jane, and Hector.

Using the information provided by the table, calculate the pace of each individual.

Step 3: Compare the paces to arrive at a solution.

Since,

therefore Hector had the slowest pace for the relay.

### Example Question #3 : Average Rate Of Change: Ccss.Math.Content.Hsf If.B.6

Diane, Jane, and Hector participated in a relay race. The following table shows the distance they each ran and the amount of time it took them.

Who had the fastest pace?

**Possible Answers:**

**Correct answer:**

This question is testing one's ability interpret a table and identify the rate of change.

For the purpose of Common Core Standards, "calculate and interpret the average rate of change of a function over a specific interval" falls within the Cluster B of "interpret functions that arise in applications in terms of the context" concept (CCSS.MATH.CONTENT.HSF-IF.B.5).

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 average rate of change formula for calculations.

In the particular case, to find the fastest pace person, there will need to an average rate of change calculation done for each person to find their mile pace.

Step 2: Calculate the mile pace for Diane, Jane, and Hector.

Using the information provided by the table, calculate the pace of each individual.

Step 3: Compare the paces to arrive at a solution.

Since,

therefore Diane had the fastest pace for the relay.

### Example Question #4 : Average Rate Of Change: Ccss.Math.Content.Hsf If.B.6

Who had the slowest pace?

**Possible Answers:**

**Correct answer:**

This question is testing one's ability interpret a table and identify the rate of change.

Step 1: Identify the average rate of change formula for calculations.

Step 2: Calculate the mile pace for Diane, Jane, and Hector.

Using the information provided by the table, calculate the pace of each individual.

Step 3: Compare the paces to arrive at a solution.

Since,

therefore Diane had the slowest pace for the relay.

### Example Question #5 : Average Rate Of Change: Ccss.Math.Content.Hsf If.B.6

Who had the fastest pace?

**Possible Answers:**

**Correct answer:**

This question is testing one's ability interpret a table and identify the rate of change.

Step 1: Identify the average rate of change formula for calculations.

Step 2: Calculate the mile pace for Diane, Jane, and Hector.

Using the information provided by the table, calculate the pace of each individual.

Step 3: Compare the paces to arrive at a solution.

Since,

therefore Jane had the fastest pace for the relay.

### Example Question #6 : Average Rate Of Change: Ccss.Math.Content.Hsf If.B.6

Who had the slowest pace?

**Possible Answers:**

**Correct answer:**

This question is testing one's ability interpret a table and identify the rate of change.

Step 1: Identify the average rate of change formula for calculations.

Step 2: Calculate the mile pace for Diane, Jane, and Hector.

Using the information provided by the table, calculate the pace of each individual.

Step 3: Compare the paces to arrive at a solution.

Since,

therefore Diane had the slowest pace for the relay.

### Example Question #7 : Average Rate Of Change: Ccss.Math.Content.Hsf If.B.6

Who had the fastest pace?

**Possible Answers:**

**Correct answer:**

This question is testing one's ability interpret a table and identify the rate of change.

Step 1: Identify the average rate of change formula for calculations.

Step 2: Calculate the mile pace for Diane, Jane, and Hector.

Using the information provided by the table, calculate the pace of each individual.

Step 3: Compare the paces to arrive at a solution.

Since,

therefore Hector had the fastest pace for the relay.

### Example Question #8 : Average Rate Of Change: Ccss.Math.Content.Hsf If.B.6

Who had the fastest pace?

**Possible Answers:**

**Correct answer:**

This question is testing one's ability interpret a table and identify the rate of change.

Step 1: Identify the average rate of change formula for calculations.

Step 2: Calculate the mile pace for Diane, Jane, and Hector.

Using the information provided by the table, calculate the pace of each individual.

Step 3: Compare the paces to arrive at a solution.

Since,

therefore Hector and Jane had the fastest pace for the relay.

### Example Question #9 : Average Rate Of Change: Ccss.Math.Content.Hsf If.B.6

Who had the fastest pace?

**Possible Answers:**

**Correct answer:**

This question is testing one's ability interpret a table and identify the rate of change.

Step 1: Identify the average rate of change formula for calculations.

Step 2: Calculate the mile pace for Diane, Jane, and Hector.

Using the information provided by the table, calculate the pace of each individual.

Step 3: Compare the paces to arrive at a solution.

Since,

therefore Hector had the fastest pace for the relay.

### Example Question #10 : Average Rate Of Change: Ccss.Math.Content.Hsf If.B.6

Who had the slowest pace?

**Possible Answers:**

**Correct answer:**

This question is testing one's ability interpret a table and identify the rate of change.

Step 1: Identify the average rate of change formula for calculations.

Step 2: Calculate the mile pace for Diane, Jane, and Hector.

Using the information provided by the table, calculate the pace of each individual.

Step 3: Compare the paces to arrive at a solution.

Since,

therefore Diane and Jane had the slowest pace for the relay.