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? (1 point) Responses Austin charges $54 for each hour worked on a weekend job. Austin charges $54 for each hour worked on a weekend job. Austin charges the customer $75 before starting on a weekend job. Austin charges the customer $75 before starting on a weekend job. Austin charges $75 for each hour worked on a weekend job. Austin charges $75 for each hour worked on a weekend job. Austin charges the customer $54 before starting on a weekend job.
The interpretation of the y-intercept in this context is that Austin charges the customer $75 before starting on a weekend job.
To interpret the y-intercept of the function, we can refer to the equation C(t) = 54t + 75. The y-intercept is the value of C(t) when t = 0.
In this case, when t = 0, the equation becomes C(0) = 54(0) + 75.
Simplifying this, we have C(0) = 0 + 75, which equals 75.
Therefore, the interpretation of the y-intercept in this context is that Austin charges the customer $75 before starting on a weekend job.