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Sandra rode her bike 5 times as many miles as Barbara. If [tex]\( b \)[/tex], the distance Barbara rode, equals 3.4 miles, what is the correct expression and distance Sandra rode?

A. [tex]\( b + 5 \)[/tex]; when [tex]\( b = 3.4 \)[/tex], the distance Sandra rode is 17 miles.
B. [tex]\( 5b \)[/tex]; when [tex]\( b = 3.4 \)[/tex], the distance Sandra rode is 17 miles.
C. [tex]\( 5b \)[/tex]; when [tex]\( b = 3.4 \)[/tex], the distance Sandra rode is 8.4 miles.
D. [tex]\( b + 5 \)[/tex]; when [tex]\( b = 3.4 \)[/tex], the distance Sandra rode is 8.4 miles.



Answer :

GinnyAnswer
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]

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