Part A: The x-intercept represents the maximum amount of profit the company makes depending on the price of erasers. The intervals would be the prices of the erasers, and they represent the correlation between sale and profit. For example, when each eraser costs $4, the company makes the max profit of $270.
Part B: The average rate of change would be $91.875 and the rate represents that, on average, for each dollar that the price of the eraser jumps, the profit jumps an average of $91.875.
Part C: The constraints of the domain would be things like how the price of the erasers cannot go less than $0 or above $8; 0 [tex]\leq[/tex] x [tex]\leq[/tex] 8.