To determine which phrase accurately describes the variable expression [tex]\( 7 \div s \)[/tex], we need to understand the basic mathematical operations represented by each phrase.
A. The quotient of 7 and [tex]\( s \)[/tex]:
- The term "quotient" refers to the result of division. Therefore, "the quotient of 7 and [tex]\( s \)[/tex]" implies dividing 7 by [tex]\( s \)[/tex], which matches the expression [tex]\( 7 \div s \)[/tex].
B. The product of 7 and [tex]\( s \)[/tex]:
- The term "product" refers to the result of multiplication. Therefore, "the product of 7 and [tex]\( s \)[/tex]" would be written as [tex]\( 7 \times s \)[/tex], not [tex]\( 7 \div s \)[/tex].
C. 7 decreased by [tex]\( s \)[/tex]:
- The phrase "7 decreased by [tex]\( s \)[/tex]" indicates subtraction, which would correspond to the expression [tex]\( 7 - s \)[/tex].
D. 7 increased by [tex]\( s \)[/tex]:
- The phrase "7 increased by [tex]\( s \)[/tex]" indicates addition, which would correspond to the expression [tex]\( 7 + s \)[/tex].
Given this analysis, the correct phrase that describes the variable expression [tex]\( 7 \div s \)[/tex] is:
A. The quotient of 7 and [tex]\( s \)[/tex]
