# Common Core: High School - Functions : Growth and Decay by Contant Percent Rate: CCSS.Math.Content.HSF-LE.A.1c

## Example Questions

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

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

Explanation:

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

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

Explanation:

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

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

Explanation:

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

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

Explanation:

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

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

Explanation:

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

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

Explanation:

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

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

Explanation:

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

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

Explanation:

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

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

Explanation:

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

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

Explanation:

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 .

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