To determine which phrase represents the algebraic expression [tex]\(\frac{1}{4} d + 7\)[/tex], let's break down the components of the expression:
1. [tex]\(\frac{1}{4} d \)[/tex]: This part of the expression represents the product of one-fourth and a number [tex]\( d \)[/tex]. In other words, you are multiplying one-fourth (which is [tex]\( \frac{1}{4} \)[/tex]) by the variable [tex]\( d \)[/tex].
2. [tex]\( + 7 \)[/tex]: This part indicates that we are adding 7 to the product obtained in the first step.
Combining these observations, the expression [tex]\(\frac{1}{4} d + 7\)[/tex] represents:
- The product of one-fourth and a number (represented by [tex]\( d \)[/tex]), plus seven.
Thus, the phrase that correctly represents the expression [tex]\(\frac{1}{4} d + 7\)[/tex] is:
- The product of one-fourth and a number, plus seven.
