To represent the situation correctly, we need to account for the total cost of the items purchased by Cheyenne.
Let:
- \( x \) be the cost of one chili cheese dog.
Cheyenne bought:
- 2 milkshakes at \( 3.59 \) each,
- 2 orders of fries at \( 2.79 \) each,
- 2 chili cheese dogs at \( x \) each.
The total cost can be represented as:
\[
2(3.59) + 2(2.79) + 2x = 18.14
\]
or simplified further:
\[
2(3.59 + 2.79 + x) = 18.14
\]
The correct choice from the given options is:
**b) 2(3.59 + 2.79 + x) = 18.14; x represents the cost of one chili cheese dog**
So the correct equation is b), and \( x \) represents the cost of one chili cheese dog.