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?(1 point)

Question

Responses

y=17.35x−100
y equals 17.35 x minus 100

y=17.35x+100
y equals 17.35 x plus 100

y=100x+17.35
y equals 100 x plus 17.35

y=100x−17.35

Answer 1

To represent the scenario where Malia earns $17.35 per hour and received a hiring bonus of $100, we need to construct a linear equation that accounts for both her hourly wage and the bonus.

Let:

• \( y \) be the total amount of money Malia earns.
• \( x \) be the number of hours she works.

Malia earns $17.35 for each hour she works, which contributes \( 17.35x \) to her total earnings, and she has an additional bonus of $100.

Thus, the equation that represents the total amount Malia earns based on the number of hours worked (x) is:

\[ y = 17.35x + 100 \]

So the correct response is:

y = 17.35x + 100
y equals 17.35 x plus 100