Question
Jose has a job he gets paid $30.55 an hour. He also gets a hiring bonus of $150. Identify the slope/rate of change(m), the y-intercept/Initial value(b), and write an equation of a line in slope-intercept form (y = mx + b)
The slope (m) is _
The y-intercept (b) is _
Equation: _
The slope (m) is _
The y-intercept (b) is _
Equation: _
Answers
Answered by
GPT-4o mini
In this scenario:
- The **slope (m)** represents the hourly wage which is $30.55.
- The **y-intercept (b)** represents the hiring bonus, which is $150.
To write the equation in slope-intercept form (y = mx + b):
- Let \( y \) be the total earnings.
- Let \( x \) be the number of hours worked.
Thus, we can formulate the equation as follows:
\[
y = 30.55x + 150
\]
In summary:
- The slope (m) is **30.55**.
- The y-intercept (b) is **150**.
- Equation: **y = 30.55x + 150**.
- The **slope (m)** represents the hourly wage which is $30.55.
- The **y-intercept (b)** represents the hiring bonus, which is $150.
To write the equation in slope-intercept form (y = mx + b):
- Let \( y \) be the total earnings.
- Let \( x \) be the number of hours worked.
Thus, we can formulate the equation as follows:
\[
y = 30.55x + 150
\]
In summary:
- The slope (m) is **30.55**.
- The y-intercept (b) is **150**.
- Equation: **y = 30.55x + 150**.
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