Question
Jordan pays $20 per month for a streaming membership that allows them to only pay $3 for each movie they stream. The equation
represents the total amount Jordan spends each month on streaming, where x represents the number of movies streamed. If Jordan spent $98 for the month of July on streaming, then Jordan streamed
movies that month.
Question 2
6.
The growth of a mobile app's user base can be tracked by the number of active users. In March 2018, the app had approximately 150 million active users worldwide. Each year, the number of active users has increased by around 8 million.
Does this situation represent discrete data or continuous data?
(1 point)
Responses
Discrete
Discrete
Continuous
Continuous
Question 3
7.
A farmer is planning to build a rectangular vegetable garden. The length of the garden is always 3 meters more than twice the width. The farmer has enough fencing material to enclose a total perimeter of 60 meters.
In the context of this problem, what are the constraints for the viable solutions?
(1 point)
Responses
No constraints
No constraints
All integers
All integers
All rational numbers greater than zero
All rational numbers greater than zero
All real numbers
All real numbers
Question 4
8.
Which of the following types of measurement would need a discrete data (whole number) constraint?
(1 point)
Option #
would need a whole number constraint.
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represents the total amount Jordan spends each month on streaming, where x represents the number of movies streamed. If Jordan spent $98 for the month of July on streaming, then Jordan streamed
movies that month.
Question 2
6.
The growth of a mobile app's user base can be tracked by the number of active users. In March 2018, the app had approximately 150 million active users worldwide. Each year, the number of active users has increased by around 8 million.
Does this situation represent discrete data or continuous data?
(1 point)
Responses
Discrete
Discrete
Continuous
Continuous
Question 3
7.
A farmer is planning to build a rectangular vegetable garden. The length of the garden is always 3 meters more than twice the width. The farmer has enough fencing material to enclose a total perimeter of 60 meters.
In the context of this problem, what are the constraints for the viable solutions?
(1 point)
Responses
No constraints
No constraints
All integers
All integers
All rational numbers greater than zero
All rational numbers greater than zero
All real numbers
All real numbers
Question 4
8.
Which of the following types of measurement would need a discrete data (whole number) constraint?
(1 point)
Option #
would need a whole number constraint.
Skip to navigation
page 17 of 18
Answers
GPT-4o mini
### Question 1
First, we need to write the equation that represents the total amount spent by Jordan on streaming:
Total cost \( C = 20 + 3x \)
where \( C \) is the total cost and \( x \) is the number of movies streamed.
According to the problem, Jordan spent $98 for the month of July. Therefore, we set up the equation:
\[
20 + 3x = 98
\]
Now, solving for \( x \):
1. Subtract 20 from both sides:
\[
3x = 78
\]
2. Divide both sides by 3:
\[
x = 26
\]
So, Jordan streamed **26 movies** that month.
---
### Question 2
The growth of a mobile app's user base is measured by the number of active users, which can only take on whole number values (you can't have half a user). This indicates that the data is discrete.
**Answer:** Discrete
---
### Question 3
The context of the problem revolves around the dimensions of a rectangular garden. The farmer has a perimeter constraint of 60 meters, and the relationship between length (L) and width (W) is defined as:
\[
L = 2W + 3
\]
The perimeter of a rectangle is calculated as:
\[
P = 2L + 2W
\]
Setting this equal to 60 gives us the constraint:
\[
2(2W + 3) + 2W = 60
\]
To establish viable solutions, we find that the width and length must be positive for real-life application. Thus, the constraints refer to positive rational numbers for the dimensions.
**Answer:** All rational numbers greater than zero
---
### Question 4
Discrete data typically refers to counts of items or occurrences that can only take whole number values. An example of a scenario where whole number constraints would apply could be counting people (you can't have half a person), counting the number of cars, or similar situations.
From the provided options, if an example is needed based on context (which was not provided here), you would typically select a measurement that involves counting discrete items.
For example: **Number of students in a classroom** or **Number of votes in an election**.
If you have specific answer options to review, I can provide a definitive answer based on those choices.
First, we need to write the equation that represents the total amount spent by Jordan on streaming:
Total cost \( C = 20 + 3x \)
where \( C \) is the total cost and \( x \) is the number of movies streamed.
According to the problem, Jordan spent $98 for the month of July. Therefore, we set up the equation:
\[
20 + 3x = 98
\]
Now, solving for \( x \):
1. Subtract 20 from both sides:
\[
3x = 78
\]
2. Divide both sides by 3:
\[
x = 26
\]
So, Jordan streamed **26 movies** that month.
---
### Question 2
The growth of a mobile app's user base is measured by the number of active users, which can only take on whole number values (you can't have half a user). This indicates that the data is discrete.
**Answer:** Discrete
---
### Question 3
The context of the problem revolves around the dimensions of a rectangular garden. The farmer has a perimeter constraint of 60 meters, and the relationship between length (L) and width (W) is defined as:
\[
L = 2W + 3
\]
The perimeter of a rectangle is calculated as:
\[
P = 2L + 2W
\]
Setting this equal to 60 gives us the constraint:
\[
2(2W + 3) + 2W = 60
\]
To establish viable solutions, we find that the width and length must be positive for real-life application. Thus, the constraints refer to positive rational numbers for the dimensions.
**Answer:** All rational numbers greater than zero
---
### Question 4
Discrete data typically refers to counts of items or occurrences that can only take whole number values. An example of a scenario where whole number constraints would apply could be counting people (you can't have half a person), counting the number of cars, or similar situations.
From the provided options, if an example is needed based on context (which was not provided here), you would typically select a measurement that involves counting discrete items.
For example: **Number of students in a classroom** or **Number of votes in an election**.
If you have specific answer options to review, I can provide a definitive answer based on those choices.