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MULTI-STEP According to 2015 Bureau of Labor Statistics data, the annual salary for a full-time truck driver is within $26,240 and $62,010. Use set-builder notation to write a compound inequality for the weekly salary w of a truck driver, rounded to the nearest cent.

User Hamada
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Final answer:

To write a compound inequality for the weekly salary w of a truck driver, we divide the given annual salary range by 52. The resulting compound inequality is 508 ≤ w ≤ 1,192.50.

Step-by-step explanation:

Truck drivers' annual salary range can be converted into a weekly pay range by dividing the annual salary range by 52 weeks in a year. To convert $26,240 and $62,010 into weekly earnings, divide both values by 52. This yields approximately $506.15 and $1192.50, respectively, when rounded to the nearest cent. The compound inequality is created using these values:

506.15 ≤ w ≤ 1192.50

Where w represents the weekly salary.

This means that a truck driver's weekly salary falls between $506.15 and $1192.50.

This range encapsulates the weekly earnings a full-time truck driver can expect, ensuring they make within this boundary per week based on the 2015 Bureau of Labor Statistics data. This helps individuals in the trucking industry understand the expected range of their weekly income based on the given annual salary data.

The correct answer for the compound inequality is 506.15 ≤ w ≤ 1192.50.

User Mark Milford
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