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 :

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]