Answer :
Let's carefully analyze the given options to determine which statement can be represented by the expression [tex]\(\chi - 5\)[/tex]. The expression [tex]\(\chi - 5\)[/tex] involves subtracting 5 from [tex]\(\chi\)[/tex], where [tex]\(\chi\)[/tex] might represent a variable, such as Jaime's height.
1. The difference of Jaime's height and 5:
- The phrase "the difference of Jaime's height and 5" indicates a subtraction operation, where 5 is subtracted from Jaime's height. This corresponds directly to the expression [tex]\(\chi - 5\)[/tex].
2. The sum of Jaime's height and 5:
- The word "sum" refers to an addition operation. If we were adding Jaime's height and 5, the expression would be [tex]\(\chi + 5\)[/tex], not [tex]\(\chi - 5\)[/tex].
3. 5 more than Jaime's height:
- The phrase "5 more than" also indicates an addition operation. This would mean we are taking Jaime's height and adding 5 to it, which would be [tex]\(\chi + 5\)[/tex], not [tex]\(\chi - 5\)[/tex].
4. Jaime's height increased by 5:
- The phrase "increased by" also suggests addition. Increasing Jaime's height by 5 would involve adding 5 to Jaime's height, leading to the expression [tex]\(\chi + 5\)[/tex], not [tex]\(\chi - 5\)[/tex].
Comparing all these options, the correct statement that can be modeled using the expression [tex]\(\chi - 5\)[/tex] is:
The difference of Jaime's height and 5.
1. The difference of Jaime's height and 5:
- The phrase "the difference of Jaime's height and 5" indicates a subtraction operation, where 5 is subtracted from Jaime's height. This corresponds directly to the expression [tex]\(\chi - 5\)[/tex].
2. The sum of Jaime's height and 5:
- The word "sum" refers to an addition operation. If we were adding Jaime's height and 5, the expression would be [tex]\(\chi + 5\)[/tex], not [tex]\(\chi - 5\)[/tex].
3. 5 more than Jaime's height:
- The phrase "5 more than" also indicates an addition operation. This would mean we are taking Jaime's height and adding 5 to it, which would be [tex]\(\chi + 5\)[/tex], not [tex]\(\chi - 5\)[/tex].
4. Jaime's height increased by 5:
- The phrase "increased by" also suggests addition. Increasing Jaime's height by 5 would involve adding 5 to Jaime's height, leading to the expression [tex]\(\chi + 5\)[/tex], not [tex]\(\chi - 5\)[/tex].
Comparing all these options, the correct statement that can be modeled using the expression [tex]\(\chi - 5\)[/tex] is:
The difference of Jaime's height and 5.
