The population of a certain country was approximately 5050 million in​ 1900,175175 million in​ 1950, and 350350 million in 2000. Construct a model for this data by finding a quadratic equation whose graph passes through the points ​(0,5050​), ​(5050​,175175​), and ​(100100​,350350​). Use this model to estimate the population in 2050.

During this same time, the digital print manager tracked the number of visits to the website’s homepage. He found that before launching the new marketing plan, there were 4,800 visits. Over the course of the next 5 weeks, the number of site visits increased by a factor of 1.5 each week. Write an equation to model the relationship between the number of weeks, x, and the number of site visits, f(x). Enter the correct answer in the box by replacing the values of a and b.

According to the data from public health units, Canada has begun its largest mass vaccination program in history. On the 10th day from the start of the vaccination program, there were 706 thousand vaccination doses administered. On the 17th day, there were 937 thousand vaccination doses administered. Assume that the number of vaccination doses administered keeps growing in a linear manner. a) What is the equation that gives the number of vaccination doses administered in Canada in terms of the number of days since the vaccination program started? b) What is the estimated number of vaccination doses administered by the 30th day since the vaccination program started? (Use the equation from part (a)) c) How many days since the beginning of the vaccination program will take to administer 1696 thousand vaccination doses in Canada? (Use the equation from part (a))

Find a quadratic equation from the points: (60,530) (80,410) (100,440). Use the quadratic formula for 50 to find the corresponding data point.

A small town has two local high schools. High School A currently has 60o students and is projected to grow by 65 students each year. High School B currently has 950 students and is projected to grow by 30 students each year. Let A represent the number of students in High School A in t years, and let B represent the number of students in High School B after t years. Write an equation for each situation, in terms of t, and determine after how many years, t, the number of students in both high schools would be the same. A = В - Answer:

determine the equation of quadratic function which passes through the points (0,11 ), (3,11) and (5, 81)