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victus00 [196]
1 year ago
8

Mary is paid $12 per hour at her weekend part-time job. She earns an average of $132 each weekend, but her earnings can vary by

$36. Which inequality represents the number of hours, h, Mary could work in one weekend? A. h ≤ 8 or h ≥ 14 B. h ≤ 3 or h ≥ 11 C. 3 ≤ h ≤ 11 D. 8 ≤ h ≤ 14
Mathematics
1 answer:
RSB [31]1 year ago
8 0

Given:

Mary is paid $12 per hour at her weekend part-time job.

She earns an average of $132 each weekend, but her earnings can vary by $36.

To find:

The inequality for number of hours.

Solution:

Let h be the number of hours Mary could work in one weekend.

Total earning for h hours = $12h

She earns an average of $132 each weekend, but her earnings can vary by $36. So,

132-36\leq \text{Total earning}\leq 132+36

96\leq \text{Total earning}\leq 168

96\leq 12h\leq 168

Divide all sides by 12.

\dfrac{96}{12}\leq \dfrac{12h}{12}\leq \dfrac{168}{12}

8\leq h\leq 14

Therefore, the correct option is D.

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