The manager of a weekend flea market knows from past experience that if he charges x dollars for a rental space at the market, then the number y of spaces he can rent is given by the equation y= 200-4x.

Is this correct?
Slope represents the relationship between amount charged per space and how many spaces he will rent. The more he charges, the less he will rent.

y-intercept represents the # of spaces he can rent

x-intercept represents the amount of money he can make or charge

Yes, your understanding of the given equation and its interpretation is correct.

The equation y = 200 - 4x represents the relationship between the amount charged per rental space (x) and the number of spaces the manager can rent (y). The negative slope (-4) indicates that as the manager increases the amount charged per space, the number of spaces rented decreases. This makes sense because as the price goes up, fewer people may be willing to rent a space.

The y-intercept in the equation (200) represents the maximum number of spaces the manager can rent when he charges nothing for a space. In other words, even if the manager doesn't charge anything, he can still rent out 200 spaces.

The x-intercept, which represents the amount of money the manager can make or charge, can be found by setting y = 0 in the equation. Solving for x, we get 0 = 200 - 4x, which simplifies to 4x = 200. Dividing both sides by 4, we find x = 50. Therefore, the x-intercept represents the amount of money the manager can charge per space in order to rent out no spaces (i.e., make zero income). In this case, it is $50.