Let's solve this step-by-step:
1. Understanding the problem: We know that Sandra rode her bike 5 times as many miles as Barbara. Let [tex]$b$[/tex] represent the number of miles Barbara rode.
2. Barbara's distance: It is given that Barbara rode 3.4 miles. So, [tex]$b = 3.4$[/tex] miles.
3. Expression for Sandra's distance: Since Sandra rode 5 times as many miles as Barbara, we can represent Sandra's distance using the expression [tex]\(5 \times b\)[/tex].
4. Substituting the value of [tex]$b$[/tex]:
- We know [tex]\(b = 3.4\)[/tex], so we substitute this into the expression.
- Sandra's distance is [tex]\(5 \times 3.4\)[/tex].
5. Calculating Sandra's distance:
- [tex]\(5 \times 3.4 = 17.0\)[/tex]
Therefore, the expression for Sandra's distance is [tex]\(5b\)[/tex]. When [tex]\(b = 3.4\)[/tex], the distance Sandra rode is 17 miles.
So, the correct expression and distance is:
[tex]\[ 5b; \text{when } b=3.4, \text{ the distance Sandra rode is 17 miles.} \][/tex]
