A region is in the middle of a drought. The table shows the number of homes without water for each day of the drought. What is the expected number of homes in the region that will be without water on day 21? Use a quadratic model. Days Homes without water 6 54 89 9. 111 12 121 O 63 homes O 212 homes O 233 homes O 75 homes

A quadratic function models a projectile's height, in meters, above the ground in terms of the time, in seconds, after it was launched. The model estimates that the projectile was launched from an initial height of 7 meters above the ground and reached a maximum height of 51.1 meters above the ground 3 seconds after the launch. How many seconds after the launch does the model estimate that the projectile will return to a height of 7 meters? A. 3 B. 6 C. 7 D. 9

The graph shows a quadratic function of the form R(t) = at2+bt+c, which represents the yearly revenue for a company, where R(t) is the revenue in year t.   a. Is the value of a positive, negative, or zero?  Explain. b. Write an expression in terms of a and b that represents the year t when the company had the least revenue. c. The company made the same yearly revenues in 2008 and 2018.  Estimate the year in which the company had the least revenue. d. Assume that the model is still valid today.  Are the yearly revenues currently increasing, decreasing, or constant?  Explain.

Music camp enrollment during summer 1995 was 184 students. Over the​ years, the camp became more popular and in 2013​, the enrollment had increased to 1,318 students. Assuming this increase was​ linear, calculate the rate at which the enrollment had increased. The rate at which the enrollment had increased is____students per year.