The answers to your questions are as we have them below:
a. Â s ( 2 burgers + 1soda )
b.  s ( $16.00 + $2.50) ≤ $100
c. The maximum number of sodas that can be purchased is 5.40 sodas
Algbraic expression
An algebraic expression is an expression containing integer constants, variables and algebraic operations
Detailed solution of the above is given below:
One Burger costs $8.00
One soda costs $2.50
Combined = s (2burgers + 1soda)
where s is the number of persons ordering.
a. Â s ( 2 * $8.00 + $2.50 )
   s ( $16.00 + $2.50) = s($18.50) assuming that the hotdogs will be the total amount to be spent
b. if the cant spend more than a $100 gift card, the inequality will be
 s ( $16.00 + $2.50) ≤ $100
 s($18.50)  ≤ $100
 s ≤ [tex]\frac{100}{18.50}[/tex] = 5.40
Therefore the number of burgers and soda they can buy is
5.40 (2burgers + 1soda) = 10.80 burgers and 5.40sodas
c.  s ( $16.00 + $2.50) ≤ $100
 s($18.50)  ≤ $100
 s ≤ [tex]\frac{100}{18.50}[/tex] = 5.40
The maximum number of sodas that can be purchased is 5.40 sodas
In conclusion, the algebraic expression for the orders you and your friends will make combined is: Â s ( 2 burgers + 1soda )
Learn more about algebra : https://brainly.com/question/6143254
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