To solve this problem, we need to figure out how many miles Sandra rode her bike using the information given:
1. Let [tex]\( b \)[/tex] represent the distance Barbara rode her bike. We are given that [tex]\( b = 3.4 \)[/tex] miles.
2. The problem states that Sandra rode her bike 5 times as many miles as Barbara.
To find the expression that represents the distance Sandra rode, we multiply the distance Barbara rode by 5:
[tex]\[ \text{Sandra's distance} = 5 \times b \][/tex]
Now, substituting the given value for [tex]\( b \)[/tex]:
[tex]\[ \text{Sandra's distance} = 5 \times 3.4 \][/tex]
Thus, the number of miles Sandra rode is:
[tex]\[ 5 \times 3.4 = 17.0 \text{ miles} \][/tex]
Therefore, the correct expression for the distance Sandra rode is [tex]\( 5b \)[/tex], and when [tex]\( b = 3.4 \)[/tex], the distance Sandra rode is 17 miles.
The correct answer is:
[tex]\[ 5 b \][/tex]; when [tex]\( b=3.4 \)[/tex], the distance Sandra rode is 17 miles.
