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

Y-intercept represents the maximum number of spaces he can rent, renting each space for $0. X-intercept represents the maximum amount he can charge per space, renting 0 spaces. Also a minor correction to slope: The more he charges, the fewer spaces he will rent.

Yes, your statements are correct.

The slope represents the relationship between the amount charged per space and the number of spaces rented. In this case, the slope is -4, indicating that for every increase of $1 in the rental price, the manager will rent 4 fewer spaces.

The y-intercept represents the number of spaces the manager can rent when he charges $0 for a rental space. In this case, the y-intercept is 200, indicating that if the manager doesn't charge anything, he can rent 200 spaces.

The x-intercept represents the amount of money the manager can make or charge when he rents no spaces. In this case, the x-intercept is 50, indicating that if the manager doesn't rent any spaces, he can make $50.

Yes, your explanations for the slope, y-intercept, and x-intercept are correct. In this equation, y represents the number of spaces the manager can rent, and x represents the amount charged for each rental space.

The slope of the equation, -4x, indicates that for every $1 increase in the rental price (x), the manager will rent 4 fewer spaces (y). This shows the negative relationship between the rental price and the number of spaces rented. The more the manager charges, the fewer spaces he can rent.

The y-intercept, 200, represents the maximum number of spaces the manager can rent when he charges $0 per space. In other words, if he doesn't charge anything, he can rent 200 spaces.

The x-intercept represents the rental price at which the manager will not be able to rent any spaces. In this case, the x-intercept is 50 (obtained by setting y = 0 in the equation y = 200 - 4x), which means if the rental price is $50 per space, no spaces will be rented.

Understanding these concepts helps us interpret the equation and understand the relationship between the rental price and the number of spaces rented.