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

## Example Questions

### Example Question #23 : Linear, Quadratic, & Exponential Models*

An anti-diabetic drug, has a half-life of about hours. If a patient was administered of the drug at , how much is left at ?

Note: The half life formula is

**Possible Answers:**

**Correct answer:**

This question is testing one's ability to recognize real life situations that have a exponential growth or decay over a certain interval and how to deal with them in function form.

For the purpose of Common Core Standards, recognize situations that have a exponential growth or decay over a certain interval, falls within the Cluster A of construct and compare linear, quadratic, and exponential model and solve problems concept (CCSS.Math.content.HSF.LE.A).

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 known values given in the question.

Step 2: Calculate .

Step 3: Substitute in known values into the half life formula to solve for .

### Example Question #24 : Linear, Quadratic, & Exponential Models*

An anti-diabetic drug, has a half-life of about hours. If a patient was administered of the drug at , how much is left at ?

Note: The half life formula is

**Possible Answers:**

**Correct answer:**

This question is testing one's ability to recognize real life situations that have a exponential growth or decay over a certain interval and how to deal with them in function form.

For the purpose of Common Core Standards, recognize situations that have a exponential growth or decay over a certain interval, falls within the Cluster A of construct and compare linear, quadratic, and exponential model and solve problems concept (CCSS.Math.content.HSF.LE.A).

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 known values given in the question.

Step 2: Calculate .

Recall that there are sixty minutes in an hour therefore,

Step 3: Substitute in known values into the half life formula to solve for .

### Example Question #25 : Linear, Quadratic, & Exponential Models*

An particular medicine, has a half-life of about hours. If a patient was administered of the drug at , how much is left at ?

Note: The half life formula is

**Possible Answers:**

**Correct answer:**

This question is testing one's ability to recognize real life situations that have a exponential growth or decay over a certain interval and how to deal with them in function form.

For the purpose of Common Core Standards, recognize situations that have a exponential growth or decay over a certain interval, falls within the Cluster A of construct and compare linear, quadratic, and exponential model and solve problems concept (CCSS.Math.content.HSF.LE.A).

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 known values given in the question.

Step 2: Calculate .

Step 3: Substitute in known values into the half life formula to solve for .

### Example Question #26 : Linear, Quadratic, & Exponential Models*

An particular medicine, has a half-life of about hours. If a patient was administered of the drug at , how much is left at ?

Note: The half life formula is

**Possible Answers:**

**Correct answer:**

Step 1: Identify the known values given in the question.

Step 2: Calculate .

Step 3: Substitute in known values into the half life formula to solve for .

### Example Question #27 : Linear, Quadratic, & Exponential Models*

An particular medicine, has a half-life of about hours. If a patient was administered of the drug at , how much is left at ?

Note: The half life formula is

**Possible Answers:**

**Correct answer:**

Step 1: Identify the known values given in the question.

Step 2: Calculate .

Step 3: Substitute in known values into the half life formula to solve for .

### Example Question #28 : Linear, Quadratic, & Exponential Models*

An anti-diabetic drug, has a half-life of about hours. If a patient was administered of the drug at , how much is left at ?

Note: The half life formula is

**Possible Answers:**

**Correct answer:**

Step 1: Identify the known values given in the question.

Step 2: Calculate .

Recall that there are sixty minutes in an hour therefore,

Step 3: Substitute in known values into the half life formula to solve for .

### Example Question #31 : Linear, Quadratic, & Exponential Models*

Note: The half life formula is

**Possible Answers:**

**Correct answer:**

Step 1: Identify the known values given in the question.

Step 2: Calculate .

Recall that there are sixty minutes in an hour therefore,

Step 3: Substitute in known values into the half life formula to solve for .

### Example Question #32 : Linear, Quadratic, & Exponential Models*

An medicine, has a half-life of about hours. If a patient was administered of the drug at , how much is left at ?

Note: The half life formula is

**Possible Answers:**

**Correct answer:**

Step 1: Identify the known values given in the question.

Step 2: Calculate .

Recall that there are sixty minutes in an hour therefore,

Step 3: Substitute in known values into the half life formula to solve for .

### Example Question #33 : Linear, Quadratic, & Exponential Models*

An certain medicine, has a half-life of about hours. If a patient was administered of the drug at , how much is left at ?

Note: The half life formula is

**Possible Answers:**

**Correct answer:**

Step 1: Identify the known values given in the question.

Step 2: Calculate .

Recall that there are sixty minutes in an hour therefore,

Step 3: Substitute in known values into the half life formula to solve for .

### Example Question #1 : Growth And Decay By Contant Percent Rate: Ccss.Math.Content.Hsf Le.A.1c

Note: The half life formula is

**Possible Answers:**

**Correct answer:**

Step 1: Identify the known values given in the question.

Step 2: Calculate .

Step 3: Substitute in known values into the half life formula to solve for .

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