Question

linear functions in context quick check
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)
○ $y = 17.35x + 100$
○ $y = 17.35x - 100$
○ $y = 100x + 17.35$
○ $y = 100x - 17.35$

Explanation:

Step1: Identify the slope and y-intercept

The general form of a linear equation is \( y = mx + b \), where \( m \) is the slope (rate of change) and \( b \) is the y-intercept (initial value).

• The rate per hour is $17.35, so this is the slope (\( m \)), as it represents the change in money per hour worked (\( x \)).
• The hiring bonus of $100 is a one - time initial amount, so this is the y - intercept (\( b \)).

Step2: Form the equation

Using the slope - intercept form \( y=mx + b \), with \( m = 17.35 \) and \( b = 100 \), we substitute these values into the equation. So the equation should be \( y=17.35x + 100 \).

Answer:

A. \( y = 17.35x + 100 \)