Ricky needs $45 to buy a jacket. He has saved $15 and plans to work as a babysitter to earn $5 per hour. Which inequality shows the minimum number of hours, n, that Ricky should work as a babysitter to earn enough to buy the jacket?
Group of answer choices
5n ≥ 45 + 15, so n ≥ 12
15 + 5n ≥ 45, so n ≥ 6
5n ≤ 45 + 15, so n ≤ 12
15 + 5n ≤ 45, so n ≤ 6
5n ≥ 45, so n ≥ 6
Ricky needs $45 to buy the jacket. He has saved $15 already, so he needs to earn $30 more. If he earns $5 per hour as a babysitter, he would need to work at least 6 hours to earn $30 (6 hours * $5 per hour = $30). Therefore, the correct inequality is 5n ≥ 45, so n ≥ 6.
thats not on the list of answers
I apologize for the confusion. Let's go through each option to determine the correct one:
1) 5n ≥ 45 + 15, so n ≥ 12
This option simplifies to 5n ≥ 60, which is more than the needed $45. Therefore, this option is not correct.
2) 15 + 5n ≥ 45, so n ≥ 6
This option correctly represents the condition where Ricky has $15 already and needs to earn $30 more by babysitting at $5 per hour. Therefore, this is the correct answer.
3) 5n ≤ 45 + 15, so n ≤ 12
This option simplifies to 5n ≤ 60, which is greater than the $45 amount Ricky needs. Therefore, this option is not correct.
4) 15 + 5n ≤ 45, so n ≤ 6
This option incorrectly suggests that Ricky needs to work less than 6 hours to earn $30. Therefore, this option is not correct.
The correct answer is: 15 + 5n ≥ 45, so n ≥ 6