PLSSS ANSWER I DONT HAVE LOTS OF TIMEEE!!?!?!?!?!?!??!??!??! Three families took a vacation to Phoenix. The Abbott Family spent $840 on four nights at their hotel and three airline tickets. The Baker Family spent $1,130 on nine nights at their hotel and two airline tickets. The Carson Family spent $2,080 on six nights at their hotel and five airline tickets. Two of the families paid the same price per night at their hotel and per airline ticket.Which two families would have had to pay the same price per night at their hotel and per airline ticket to have the largest possible nightly hotel cost?
A.
the Abbott and Baker Families

B.
the Abbott and Carson Families

C.
the Carson and Baker Families

D.
all three families would have to pay the same price

Answer:

c

Step-by-step explanation:

both of the familys have higher cost and have to stay longer

Final answer:

After solving systems of equations for each pair of families, the Abbott and Carson Families are the ones that fit the conditions allowing the largest possible nightly hotel cost.

Explanation:

Let's examine the vacation expenses for each family to determine which two families could have paid the same price per night at their hotel and per airline ticket for the largest possible nightly hotel cost. We must establish a system of equations to represent the total vacation expenses in terms of hotel cost per night (H) and airline ticket cost (A).

For the Abbott Family:
4H + 3A = $840

For the Baker Family:
9H + 2A = $1,130

For the Carson Family:
6H + 5A = $2,080

To determine which two families could have the same hotel and ticket costs, we should look for the two equations that can be true simultaneously for the highest values of H. For ease of calculation, we can eliminate one family at a time and solve the remaining pair of equations for H and A.

By trying different combinations, we can find that the Abbott and Carson Families fit the conditions allowing the largest possible nightly hotel cost. Here's the reasoning:

• If the Abbott and Baker families paid the same rates, then solving the equations yields illogical negative values for the costs.
• If the Carson and Baker families paid the same rates, the solution yields a lower hotel rate compared to the Abbott and Carson combination.
• Using the Abbott and Carson families' equations, and solving for H and A yields feasible positive values, with the highest cost per night for the hotel.

Hence, option B, the Abbott and Carson Families, is the right choice for the largest possible nightly hotel cost.

Learn more about System of Equations here:

brainly.com/question/21620502

#SPJ2