Question Analysis
This question examines the classification of variables in the context of a linear function. While the function itself is continuous, we must determine whether the input variable x (hours spent studying) is discrete or continuous in this scenario.
Key Concept Explanation
Continuous Variable:
Can take any value within a range, including fractions and decimals.
Time (hours, minutes, seconds) is typically continuous because it can be measured with increasing precision.
Discrete Variable:
Takes only specific, distinct values (usually whole numbers).
Countable items (e.g., number of books, students) are discrete.
Step-by-step Solution
1. Identify the variable: x represents hours spent studying.
2. Determine possible values:
Tim...