Question 1
You provided the equation \( y = 20 + 3x \) to represent Jordan's spending, but it should actually be \( y = 20 + 3x \) where \( y \) is the total amount spent and \( x \) is the number of movies streamed. To find out how many movies Jordan streamed in July when they spent $98, we can set up the equation:
\[ 98 = 20 + 3x \]
Subtract 20 from both sides:
\[ 98 - 20 = 3x \implies 78 = 3x \]
Now, divide both sides by 3:
\[ x = \frac{78}{3} = 26 \]
Jordan streamed 26 movies that month.
Question 2
The growth of a mobile app's user base, which increases by a specific number of users each year, represents discrete data. This is because user counts can only take whole number values (you can't have a fraction of a user).
Response: Discrete
Question 3
The context of the farmer's garden involves the dimensions of the garden (width and length), which must be positive. Hence, the constraints for the viable solutions would be:
- The width should be greater than zero (a width of zero or less wouldn’t make sense).
- Correspondingly, the length, which is dependent on the width, must also be positive.
Thus, the correct option for constraints would be:
Response: All positive integers greater than zero
Question 4
Measurement that would require a discrete data (whole number) constraint typically involves counting distinct objects, events, or occurrences, such as:
- Number of students in a class
- Number of eggs in a carton
- Number of cars in a parking lot
Without specific options listed, I cannot provide an exact answer here, but look for options that imply counting whole items or entities.
If you can provide options for the fourth question, I can help identify the one that would need a whole number constraint.