To make a profit, a company’s revenue must be greater than its operating costs. the company’s revenue is modeled by the expression 7.5x – 100, where x represents the number of items sold. the company’s operation costs are modeled by the expression 79.86 + 5.8x. how many items does the company need to sell to make a profit?
the inequality that will determine the number of items that need to be sold to make a profit is 7.5x-100> 79.86 + 5.8x
the solution to the inequality is: x> 11.85 x< 105.8 x> 105.8
the inequality that will determine the number of items that need to be sold to make a profit is: 12 100 106

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a.what is the independent and dependent variables? b.find the amplitude and the period of the function. c.create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.