A baker's profit `P` is modeled by `P = 3c - 100`, where `c` is the number of cakes sold. What does the y-intercept, -100, represent in this context?

The profit from selling one cake.

The initial costs before any cakes are sold.

The number of cakes sold to break even.

The length `L` of a spring in inches is given by `L = 0.5w + 12`, where `w` is the weight in pounds attached to it. What does the slope, 0.5, represent?

The spring stretches 0.5 inches for each pound added.

The maximum weight the spring can hold.

The weight required to stretch the spring to 0.5 inches.