All Common Core: High School - Functions Resources
Example Questions
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
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
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
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 #1 : 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
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
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 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
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 #31 : 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
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 #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
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 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
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 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
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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