Let's break down the problem step-by-step:
1. We are given that Sandra rode her bike 5 times as many miles as Barbara.
2. We need to find an expression that represents the distance Sandra rode, given that Barbara rode [tex]\( b \)[/tex] miles.
3. The problem states that [tex]\( b = 3.4 \)[/tex] miles.
The distance Sandra rode can be represented by multiplying the distance Barbara rode by 5. Therefore, the correct expression for the distance Sandra rode is:
[tex]\[ 5b \][/tex]
Now, we substitute the given value of [tex]\( b \)[/tex] into the expression:
[tex]\[ 5 \times 3.4 = 17 \][/tex]
Thus, when [tex]\( b = 3.4 \)[/tex], the distance Sandra rode is 17 miles.
So, the correct expression and distance are:
[tex]\[ 5b; \text{ when } b = 3.4, \text{ the distance Sandra rode is } 17 \text{ miles} \][/tex]
Therefore, the correct answer is:
[tex]\[ 5b; \text{ when } b = 3.4, \text{ the distance Sandra rode is } 17 \text{ miles}. \][/tex]
