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Samantha is planning to take a trip. The cost of the plane ticket is $575. She earns $15 an hour (h) and has already saved $135. Which of the following inequalities shows the number of hours (h) Samantha could work in order to buy her ticket?
A.
15h + 135 ≤ 575
B.
15h + 135 ≥ 575
C.
15 + h ≥ 440
D.
15h ≥ 710

The answer is option A:

We know that Samantha needs to earn enough money to pay for the plane ticket, which is $575. She already has $135 saved up, so the total amount she needs to earn is:

$575 - $135 = $440

We also know that she earns $15 an hour, so we can set up the inequality:

15h + 135 ≤ 575

This inequality says that if Samantha works h hours at a rate of $15 an hour, and adds her savings of $135, the total amount she earns will be less than or equal to $575, which is the cost of the plane ticket.

Therefore, Samantha can work any number of hours, as long as the inequality 15h + 135 ≤ 575 is true.