Question

1. charlie worked for a stone setting company this past summer. he earned $50 just for coming to work and an additional $30 every hour for each hour he worked. the linear function e(t) = 50 30t represents charlie's earnings e as a function of time worked t (in hours).

Answer 1

The student's question is about a linear function modeling earnings over time for work performed, with a fixed starting amount and an additional hourly rate.

Step-by-step explanation:

The student's question involves creating and interpreting a linear function that models earnings over time. The function provided, e(t) = 50 + 30t, represents Charlie's earnings e as a function of the time t worked in hours. The y-intercept is $50, which signifies the fixed amount Charlie earns just for showing up to work. The slope of the function is $30, indicating the hourly wage that Charlie earns on top of his fixed amount. To better understand this, let's take a similar example: Ethan earns money by repairing household appliances with a linear equation of y = 25 + 20x, where y is the total amount Ethan earns per visit, and x is the number of hours worked. Here, the independent variable is the number of hours worked (x), the dependent variable is the total amount earned (y), the y-intercept is $25, and the slope is $20.