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

Question

Responses

y=17.35x−100

y=100x+17.35

y=100x−17.35

y=17.35x+100

Answer 1

To represent the amount of money Malia would take in based on the number of hours she works (x), we need to account for both her hourly wage and her hiring bonus.

Malia earns $17.35 for every hour worked, so for \( x \) hours, she would earn \( 17.35x \). Additionally, she received a hiring bonus of $100.

Therefore, the total amount of money she takes in (y) can be represented by the equation:

\[ y = 17.35x + 100 \]

So, the correct response is:

y = 17.35x + 100