A hotel that has 80 rooms can rent all of them if the rental price per day is $300, but it has noticed that for each $6 of increase in the rental price, it would have an empty room. Determine: a) The rental price of room in order to get a maximum income.

b) Amount of maximum income.

c) The number of rooms that would be empty when the income is maximum.

Answer this question! 30 points and brainliest! only if you know the answer.

Brian, chris, and damien took a math test that had 20 questions. the number of questions brian got right is 14 more than the number of questions chris got right. damien correctly answered 2 less than the number of questions chris answered correctly. if brian and damien have the same score, which statement is true?

Aretha wanted to gather data about the cost of local bowling leagues in her area. she plotted the data and determined that the average bowling league costs consist of a one-time registration fee and a monthly fee modeled by the equation y = 15x + 20. identify and interpret the y-intercept in this model. the y-intercept is 20. this is the cost per month. the y-intercept is 20. this is the cost of registration. the y-intercept is 15. this is the cost of registration. the y-intercept is 15. this is the cost per month.