Austin works as an electrician. If a job requires Austin to work on weekends, the function C(t)=54t+75 represents the customer's cost, C, in dollars of working t hours on the job. What is the interpretation of the y-intercept?
Austin charges the customer $75
before starting on a weekend job.
Austin charges the customer $54
before starting on a weekend job.
Austin charges $54
for each hour worked on a weekend job.
Austin charges $75
for each hour worked on a weekend job.
The correct interpretation of the y-intercept in this context is "Austin charges the customer $75 before starting on a weekend job."
To determine the interpretation of the y-intercept in the given function C(t) = 54t + 75, we can analyze the equation. The y-intercept is the value of C when t (time worked) is zero, or at the starting point.
In this case, the y-intercept is the constant term in the equation, which is 75. Therefore, the interpretation of the y-intercept is:
Austin charges the customer $75 before starting on a weekend job.
So, the correct answer is "Austin charges the customer $75 for each hour worked on a weekend job."