The overall cost of carpet and installation from a particular company is represented by the function, where x represents the square footage of the carpet. p(x) = $2.35x + $104.00 what is the average rate of change over the interval [2,000, 2,500]? a)$4.81 per square foot b)$2.35 per square foot c) $0.43 per square foot d)$1.04 per square foot

One integer is 8 times another. if the product is 72, then find the integers

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.

Hector and alex traded video games. alex gave hector one fourth of his video games in exchange for 6 video games. then he sold 3 video games and gave 2 video games to his brother. alex ended up with 16 video games. how many video games did alex have when he started?