Question
Emily subscribes to an online learning platform for $15 per month, which allows her to purchase courses at a discounted rate of $5 per course. The equation
represents the total amount Emily spends each month on learning, where x represents the number of courses she buys. If Emily spent $60 in August on courses, then she purchased
courses that month.
Question 2
6.
A fitness tracker app records the number of steps a user takes each day.
On January 1st, 2022, the app logged 10,000 steps for the user.
Over the next month, the number of steps increased by an average of 500 steps per day.
Does this situation represent discrete data or continuous data?
(1 point)
Responses
Discrete
Discrete
Continuous
Continuous
Question 3
7.
A company is designing a rectangular storage facility.
The length of the facility must be 4 meters longer than three times the width to accommodate large machinery.
The company has enough building materials to cover a total perimeter of 100 meters.
In the context of this problem, what are the constraints for the viable solutions?
(1 point)
Responses
No constraints
No constraints
All positive integers
All positive integers
All positive rational numbers greater than zero
All positive rational numbers greater than zero
All real numbers
All real numbers
Question 4
8.
Which of the following types of measurement would NOT need a continuous data constraint?
(1 point)
Option #
would NOT need a continuous constraint.
Question 5
9.
A scientist is measuring the daily temperature fluctuations in a greenhouse.
On January 1st, 2022, the temperature was recorded as 20.5°C.
Over the next month, the temperature varied throughout each day.
Does this situation represent discrete data or continuous data?
(1 point)
Responses
discrete data
discrete data
continuous data
continuous data
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represents the total amount Emily spends each month on learning, where x represents the number of courses she buys. If Emily spent $60 in August on courses, then she purchased
courses that month.
Question 2
6.
A fitness tracker app records the number of steps a user takes each day.
On January 1st, 2022, the app logged 10,000 steps for the user.
Over the next month, the number of steps increased by an average of 500 steps per day.
Does this situation represent discrete data or continuous data?
(1 point)
Responses
Discrete
Discrete
Continuous
Continuous
Question 3
7.
A company is designing a rectangular storage facility.
The length of the facility must be 4 meters longer than three times the width to accommodate large machinery.
The company has enough building materials to cover a total perimeter of 100 meters.
In the context of this problem, what are the constraints for the viable solutions?
(1 point)
Responses
No constraints
No constraints
All positive integers
All positive integers
All positive rational numbers greater than zero
All positive rational numbers greater than zero
All real numbers
All real numbers
Question 4
8.
Which of the following types of measurement would NOT need a continuous data constraint?
(1 point)
Option #
would NOT need a continuous constraint.
Question 5
9.
A scientist is measuring the daily temperature fluctuations in a greenhouse.
On January 1st, 2022, the temperature was recorded as 20.5°C.
Over the next month, the temperature varied throughout each day.
Does this situation represent discrete data or continuous data?
(1 point)
Responses
discrete data
discrete data
continuous data
continuous data
Skip to navigation
Answers
GPT-4o mini
### Responses to Your Questions
**Question 1 (Purchased Courses Calculation)**
Let \( x \) be the number of courses Emily purchases.
The total amount Emily spends can be expressed as:
\[ \text{Total} = 15 + 5x \]
If she spent $60 in August:
\[ 60 = 15 + 5x \]
Calculating for \( x \):
\[ 60 - 15 = 5x \]
\[ 45 = 5x \]
\[ x = 9 \]
So, Emily purchased **9 courses** that month.
---
**Question 2 (Discrete or Continuous Data)**
The situation describes the average increase in steps taken per day, which can take any value within a range. However, the actual count of steps is a specific number (e.g., 10,000 steps, 10,500 steps, etc.), which can only take whole numbers (as you can't take a fraction of a step). Therefore, this data is:
**Discrete**
---
**Question 3 (Constraints for the Storage Facility)**
In this problem, the length \( L \) and width \( W \) of the facility are linked by a relationship \( L = 3W + 4 \) and the perimeter constraint is:
\[ 2L + 2W = 100 \]
From these equations, we can solve for \( W \) and derive the corresponding \( L \) values. However, since both dimensions must be positive, your viable solutions must respect:
**All positive rational numbers greater than zero**
---
**Question 4 (Types of Measurement That Do Not Need Continuous Data Constraints)**
A measurement that does not require continuous data constraints is usually something that is naturally counted and can only take whole number values (examples include the number of items, number of persons, etc.). Therefore, an option like **the number of students in a classroom** would NOT need a continuous constraint.
---
**Question 5 (Temperature Variations)**
In this case, temperature can take a broad range of values, including decimals (like 20.5°C). Temperature is measured and can vary continuously, making it unsuitable for discrete representation. Thus, this situation represents:
**Continuous data**
---
Feel free to ask if you have more questions or need further clarification!
**Question 1 (Purchased Courses Calculation)**
Let \( x \) be the number of courses Emily purchases.
The total amount Emily spends can be expressed as:
\[ \text{Total} = 15 + 5x \]
If she spent $60 in August:
\[ 60 = 15 + 5x \]
Calculating for \( x \):
\[ 60 - 15 = 5x \]
\[ 45 = 5x \]
\[ x = 9 \]
So, Emily purchased **9 courses** that month.
---
**Question 2 (Discrete or Continuous Data)**
The situation describes the average increase in steps taken per day, which can take any value within a range. However, the actual count of steps is a specific number (e.g., 10,000 steps, 10,500 steps, etc.), which can only take whole numbers (as you can't take a fraction of a step). Therefore, this data is:
**Discrete**
---
**Question 3 (Constraints for the Storage Facility)**
In this problem, the length \( L \) and width \( W \) of the facility are linked by a relationship \( L = 3W + 4 \) and the perimeter constraint is:
\[ 2L + 2W = 100 \]
From these equations, we can solve for \( W \) and derive the corresponding \( L \) values. However, since both dimensions must be positive, your viable solutions must respect:
**All positive rational numbers greater than zero**
---
**Question 4 (Types of Measurement That Do Not Need Continuous Data Constraints)**
A measurement that does not require continuous data constraints is usually something that is naturally counted and can only take whole number values (examples include the number of items, number of persons, etc.). Therefore, an option like **the number of students in a classroom** would NOT need a continuous constraint.
---
**Question 5 (Temperature Variations)**
In this case, temperature can take a broad range of values, including decimals (like 20.5°C). Temperature is measured and can vary continuously, making it unsuitable for discrete representation. Thus, this situation represents:
**Continuous data**
---
Feel free to ask if you have more questions or need further clarification!