Me , i’m still struggling with y intercepts, rates of change, etc.

(a) The y-intercepts of both functions are the same, 0.  However, the rate of change for the school library is 0.25, while the rate of change for the city library is 0.35.  

(b) The 3-day late fee at the school library is $0.75 and the 3-day late fee at the city library is $1.05.

Step-by-step explanation:

The functions represented in the question are linear, which means that they have a consistent rate of change over time.  In this example, it means that for every day, the late fee charged by each library is the same.  At the school library, the rate of change is 0.25, which means for each day the book is late, the school charges a fee of $0.25.  At the city library, the table shows that for each day the book is late, the city charges a fee of $0.35.  So, the city library is more expensive.  Y-intercept refers to the initial cost, or how much do the libraries charge if the book is not late, or turned in on time.  In this case, neither library charges a fee for books turned in on time, so both would have a y-intercept of 0.  

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent