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Create a linear equation that represents the following scenario. Malia is working for a rate of \( \$ 17.35 \) an hour. She got hiring bonus of \( \$ 100 \). What equation would represent the amount of money she would take in based on the number o hours, \( x \) ? (1 point) \( y=100 x+17.35 \) \( y=17.35 x+100 \) \( y=100 x-17.35 \) \( y=17.35 x-100 \)

Ask by Bowers Moran. in the United States
Feb 25,2025

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The correct equation is \( y = 17.35x + 100 \).

Solución

We know that Malia earns \$17.35 per hour and she also receives a hiring bonus of \$100. This means that the total amount she earns can be modeled by the equation: Total Earnings (y) = (Hourly Rate × Hours Worked) + Hiring Bonus Substituting the given numbers: y = 17.35x + 100 Thus, the correct equation is: y = 17.35x + 100.

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The Deep Dive

To represent Malia's earnings based on the number of hours she works, we need to account for her hourly wage and the hiring bonus. The correct equation is \( y = 17.35x + 100 \), where \( y \) is the total money earned, \( x \) is the number of hours worked, and \( 17.35 \) is her hourly rate added to the \( 100 \) dollar bonus. In practical terms, if Malia works 10 hours, we can plug in \( x = 10 \) into the equation: \( y = 17.35(10) + 100 \), which would give her a total earning of \( 273.50 \). This clear understanding of how to create and use linear equations can be applied to various real-life financial scenarios!

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