Answer :
To determine the correct word phrase for the expression [tex]\( w - 69 \)[/tex], let's break it down:
The expression [tex]\( w - 69 \)[/tex] represents taking a number [tex]\( w \)[/tex] and subtracting 69 from it. In simple terms, you have a starting number [tex]\( w \)[/tex], and you are reducing it by 69.
Let's examine the provided options:
1. 69 more than a number [tex]\( w \)[/tex]: This would be represented as [tex]\( w + 69 \)[/tex], since "more than" implies addition.
2. 69 less than a number [tex]\( w \)[/tex]: This indicates that you are taking a number [tex]\( w \)[/tex] and removing 69 from it. This corresponds to the expression [tex]\( w - 69 \)[/tex], since you are subtracting 69 from [tex]\( w \)[/tex].
3. The quotient of a number [tex]\( w \)[/tex] and 69: This describes a division, represented as [tex]\( \frac{w}{69} \)[/tex].
4. The difference of 69 and [tex]\( w \)[/tex]: This would be expressed as [tex]\( 69 - w \)[/tex], since you are subtracting [tex]\( w \)[/tex] from 69.
Given these explanations, the correct word phrase for the expression [tex]\( w - 69 \)[/tex] is "69 less than a number [tex]\( w \)[/tex]."
The expression [tex]\( w - 69 \)[/tex] represents taking a number [tex]\( w \)[/tex] and subtracting 69 from it. In simple terms, you have a starting number [tex]\( w \)[/tex], and you are reducing it by 69.
Let's examine the provided options:
1. 69 more than a number [tex]\( w \)[/tex]: This would be represented as [tex]\( w + 69 \)[/tex], since "more than" implies addition.
2. 69 less than a number [tex]\( w \)[/tex]: This indicates that you are taking a number [tex]\( w \)[/tex] and removing 69 from it. This corresponds to the expression [tex]\( w - 69 \)[/tex], since you are subtracting 69 from [tex]\( w \)[/tex].
3. The quotient of a number [tex]\( w \)[/tex] and 69: This describes a division, represented as [tex]\( \frac{w}{69} \)[/tex].
4. The difference of 69 and [tex]\( w \)[/tex]: This would be expressed as [tex]\( 69 - w \)[/tex], since you are subtracting [tex]\( w \)[/tex] from 69.
Given these explanations, the correct word phrase for the expression [tex]\( w - 69 \)[/tex] is "69 less than a number [tex]\( w \)[/tex]."
