Create a linear equation that represents the following scenario. Malia is working for a rate of $17.35 an hour.

Question

She got a hiring bonus of $100. What equation would represent the amount of money she would take in based on the number of hours, x? (1 point)
• y = 17.35x - 100
0 y = 100x + 17.35
0 y = 17.35x + 100
• y = 100x - 17.35

Answer 1

To create a linear equation that represents Malia's earnings based on the number of hours she works, we need to consider her hourly wage and her hiring bonus.

Let:

• \( y \) be the total amount of money she takes in,
• \( x \) be the number of hours she works.

Malia earns $17.35 for each hour, so her earnings for \( x \) hours would be \( 17.35x \). Additionally, she received a hiring bonus of $100, which is a one-time amount added to her earnings. Therefore, the equation representing her total earnings would be:

\[ y = 17.35x + 100 \]

Thus, the correct equation is y = 17.35x + 100.