To determine the appropriate inequalities that represent the number of hours Samantha needs to work to afford the plane ticket, we can start by expressing her total earnings from hours worked plus her savings and compare it to the cost of the ticket.
- The cost of the ticket is $575.
- She has already saved $135.
- She earns $15 per hour (h).
The total amount of money Samantha would have from working h hours is the sum of her earnings and her savings:
Total money = Earnings from work + Savings Total money = 15h + 135
To find out how many hours she needs to work in order to buy the ticket, we need to set up the inequality:
15h + 135 ≥ 575
We can simplify this inequality by subtracting 135 from both sides:
15h ≥ 575 - 135 15h ≥ 440
Now, let's review the options you provided:
- A. 15h + 135 ≤ 575 (Incorrect)
- B. 15h + 135 ≥ 575 (Correct)
- C. 15h ≥ 440 (Correct)
- D. 15h ≥ 710 (Incorrect)
The correct inequalities that show the number of hours (h) Samantha could work in order to buy her ticket are:
B. 15h + 135 ≥ 575 C. 15h ≥ 440