6 hours more per week than Theodore studies. How to write this as an algebraic expression.
The correct answer and explanation is:
To express “6 hours more per week than Theodore studies” algebraically, you need to create an expression that compares the amount of time someone studies with the amount of time Theodore studies.
Let the number of hours Theodore studies per week be represented by the variable T. The phrase “6 hours more” implies an additional 6 hours, which will be added to Theodore’s hours.
So, if someone studies 6 more hours than Theodore, the algebraic expression for the number of hours that person studies would be:
T + 6
Here:
- T is the number of hours Theodore studies.
- T + 6 represents 6 more hours than Theodore.
Explanation:
Algebraic expressions are mathematical phrases involving numbers, variables, and operations like addition, subtraction, multiplication, or division. In this case, “6 hours more” suggests an addition operation.
Variables are used to represent unknown quantities. The choice of the letter T is arbitrary but standard for representing “Theodore’s hours of study.”
This expression can be used in various mathematical scenarios, such as solving for the study time of another person if Theodore’s study hours are known, or comparing different study habits based on the number of hours studied. Algebra allows you to represent relationships and solve problems involving quantities that are not immediately clear, like the specific number of study hours.