Question

get ready for an amusement park day of fun! you and your family want to spend the day at a theme park. you have pooled your money together and have $685. the tickets to the park are $125 each and there is an online processing fee of $5.75 per ticket. you also need to pay $20 for parking. if you have a family of five, do you have enough money to purchase these tickets? find an inequality to determine how many tickets can be purchased. then find how many tickets you are able to purchase based on your inequality. (1 point)
○ $125t \leq 685$, and yes, you can purchase the tickets.
○ $125t + 5.75t \leq 685$, and yes, you can purchase the tickets.
○ $125t + 5.75t + 20 \leq 685$, and no, you cannot purchase the tickets.
○ $125t + 5.75t + 20 \leq 685$, and yes, you can purchase the tickets.

Explanation:

Step1: Identify total cost components

The total cost includes ticket price (\$125 per ticket), processing fee (\$5.75 per ticket), and parking (\$20). For \( t \) tickets, total cost is \( 125t + 5.75t + 20 \). This must be \( \leq 685 \) (total money).

Step2: Substitute \( t = 5 \) (family of five)

Calculate total cost: \( 125(5) + 5.75(5) + 20 \).
First, \( 125(5) = 625 \), \( 5.75(5) = 28.75 \).
Then, \( 625 + 28.75 + 20 = 673.75 \).
Since \( 673.75 \leq 685 \), the inequality \( 125t + 5.75t + 20 \leq 685 \) holds, and we can purchase tickets.

Answer:

D. \( 125t + 5.75t + 20 \leq 685 \), and yes, you can purchase the tickets. (Note: Assuming the last option is D; if options are labeled as per the order, the correct option is the last one with the inequality \( 125t + 5.75t + 20 \leq 685 \) and "yes".)