8. A cab charges $\$ 0.10$ per mile and a flat fee of $\$ 3.00$. Write an equation to model the price $y$ of an $x$-mile-long cab ride.

Step 1 ：The question is asking for an equation that models the price of a cab ride. The price is determined by two factors: a flat fee of $3.00 and a per-mile charge of $0.10. The flat fee is a constant, meaning it does not change regardless of the distance traveled. The per-mile charge, however, is variable and depends on the distance traveled. Therefore, the equation will be in the form of y = mx + b, where m is the slope (the per-mile charge), x is the distance traveled, and b is the y-intercept (the flat fee).

Step 2 ：The equation to model the price $y$ of an $x$-mile-long cab ride is $y = 0.10x + 3.00$.

Step 3 ：\(\boxed{y = 0.10x + 3.00}\)