Check here for instructional material to complete this problem. For the spring semester 2009, parttime students at a college paid $445 per credit (unit or hour) for tuition and paid a mandatory part-time student fee of $50 per semester. Let T be the total one-semester cost (in dollars) of tuition plus part-time student fee for (2 credits of classes. Complete parts a. through d. a. Find the slope of the linear model that describes this situation. What does it mean in this situation? The slope is . The tuition increases by $ per credit. Instructional material The average rate of change is the change in some quantity (the rise} divided by the change in units, usually time (the run). The rate of change can be expressed by slope. The average rate of rise change in y changeslope run _ change in x' You can nd an equation of a line to model this by using your initial amount as your yintercept and the rate of change as your slope. That is, y = slope - t + initial amount at time 0. Example: A person's salary was $35,000 in 2015 and $50,000 in 2020. Find the average rate of change of the salary per year. Find an equation to describe the salary at t years since 2005. The change in salary (the rise) was $50,000 $35,000 = $25,000. The change in time (the run) was $25,000 2020 - 2015 = 5 years. Therefore, the average rate of change (the slope) was 5 = $5,000. The vertical axis intercept will be given by the initial amount at time t= 0 which was $35,000. We will use 3 for salary. The equation will he s = slope - t+ initial amount = $5,000t + $35,000. Answer: The average rate of change was $5,000 per year. The equation for salary in 5 dollars t years from 2015 is s = 5.000t + 35.000