The verbal expression “the product of five and a number” translates to multiplying five by a variable, typically represented as \( b \) or another variable. This means we are looking for expressions that involve multiplication of five and that variable.
The expressions that match this verbal expression are:
- \( 5b \) (which is the same as multiplying five by the variable \( b \))
- \( b \cdot 5 \) (which also represents the product of five and \( b \))
The other options do not represent the product of five and a number:
- \( \frac{b}{5} \) (division)
- \( 5 + b \) (addition)
- \( b - 5 \) (subtraction)
- \( \frac{5}{b} \) (division)
So, the correct selections are:
- \( 5b \)
- \( b \cdot 5 \)