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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.

Sagot :

GinnyAnswer
To determine the correct expression and the distance Sandra rode, let's analyze the information provided:

1. Sandra rode her bike 5 times as many miles as Barbara.
2. The distance Barbara rode, denoted by [tex]\( b \)[/tex], is 3.4 miles.

First, let's identify the correct mathematical expression for the distance Sandra rode. Since Sandra rode 5 times the distance Barbara rode, the correct expression to represent the distance Sandra rode is [tex]\( 5b \)[/tex].

Now, we will substitute the value of [tex]\( b \)[/tex] into the expression:

[tex]\[ b = 3.4 \][/tex]

[tex]\[ 5b = 5 \times 3.4 \][/tex]

Following this calculation:

[tex]\[ 5 \times 3.4 = 17.0 \][/tex]

Therefore, the correct expression is [tex]\( 5b \)[/tex], and when [tex]\( b = 3.4 \)[/tex], the distance Sandra rode is 17 miles.

Among the given choices, the correct statement is:

- [tex]\( 5b \)[/tex]; when [tex]\( b = 3.4 \)[/tex], the distance Sandra rode is 17 miles.
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