To determine the correct expression and the distance Sandra rode, let's analyze the information provided:
1. Sandra rode her bike 5 times as many miles as Barbara.
2. The distance Barbara rode, denoted by [tex]\( b \)[/tex], is 3.4 miles.
First, let's identify the correct mathematical expression for the distance Sandra rode. Since Sandra rode 5 times the distance Barbara rode, the correct expression to represent the distance Sandra rode is [tex]\( 5b \)[/tex].
Now, we will substitute the value of [tex]\( b \)[/tex] into the expression:
[tex]\[ b = 3.4 \][/tex]
[tex]\[ 5b = 5 \times 3.4 \][/tex]
Following this calculation:
[tex]\[ 5 \times 3.4 = 17.0 \][/tex]
Therefore, the correct expression is [tex]\( 5b \)[/tex], and when [tex]\( b = 3.4 \)[/tex], the distance Sandra rode is 17 miles.
Among the given choices, the correct statement is:
- [tex]\( 5b \)[/tex]; when [tex]\( b = 3.4 \)[/tex], the distance Sandra rode is 17 miles.
