Serena makes $9 per hour cutting lawns. Each day, she earns about $15 in tips. If Serena made no less than $110 on Monday, which inequality represents $h$, the number of hours she worked on Monday?
A. $15h+9 \leq 110$
B. $15h+9 \geq 110$
C. $9h+15 \geq 110$
D. $9h+15 < 110
Answer (2)
Serena's total earnings from cutting lawns and tips can be represented by the expression 9 h + 15 . Since her earnings were no less than $110, the corresponding inequality is 9 h + 15 ≥ 110 . The correct answer choice is C: 9 h + 15 ≥ 110 .
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Serena earns $9 per hour, so her earnings are 9 h .
She also earns $15 in tips, so her total earnings are 9 h + 15 .
She made no less than $110 , so 9 h + 15 ≥ 110 .
The inequality representing the situation is 9 h + 15 ≥ 110 .
Explanation
Problem Analysis Let's analyze the problem. Serena earns $9 per hour and gets $15 in tips. Her total earnings on Monday were no less than $110 . We need to find the inequality that represents the number of hours, h , she worked.
Earnings Calculation Serena's earnings from cutting lawns are 9 h , where h is the number of hours she worked. She also earns $15 in tips. So, her total earnings are 9 h + 15 . Since she made no less than $110 , her total earnings must be greater than or equal to $110 .
Forming the Inequality Therefore, the inequality representing the situation is: 9 h + 15 ≥ 110
Final Answer The correct inequality is 9 h + 15 ≥ 110 .
Examples
Imagine you're planning a fundraising event. You know you'll get a fixed donation of $50 , and you're selling tickets for $5 each. You want to make at least $300 . This problem is similar to figuring out how many tickets you need to sell. The fixed donation is like Serena's tips, the ticket price is like her hourly wage, and the goal amount is like her minimum earnings. Setting up and solving the inequality helps you determine the minimum number of tickets to sell to reach your fundraising goal.
