Final answer:
To determine if the family has saved enough for airplane tickets, set up and solve the inequality 546x ≤ 3570, where x represents the number of people in the family. The answer shows that a family of 6 can afford the tickets.
Step-by-step explanation:
To determine if the family has saved enough to buy airplane tickets for vacation, we can set up an inequality. Let x represent the number of people in the family. The cost of airplane tickets per person is $546. So, the total cost of airplane tickets for the family is 546x. The amount of money the family has saved is $3570. To check if the family has saved enough, we need to make sure that the total cost of the airplane tickets is less than or equal to the amount of money they have saved. The inequality would be:
546x ≤ 3570
To solve the inequality, we need to divide both sides of the inequality by 546 because we want to isolate x. This gives us:
x ≤ 6.54
Rounding down to the nearest whole number, we find that the family has enough money to buy airplane tickets for a family of 6. If the number of people in the family is greater than 6, they would not have enough money to purchase tickets for everyone.