(01.05 MC) A college is currently accepting students that are both in-state and out-of-state. They plan to accept four times as many in-state students as out-of-state, and they only have space to accept 100 out-of-state students. Let x = the number of out-of-state students and y = the number in-state students. Write the constraints to represent the incoming students at the college.

(01.06 LC) Sarah needs 10 feet of fabric for a project she is working on, but the store only sells the fabric in meters. One meter of fabric costs $1.50. How much will the fabric cost?

(01.03 MC) Jorie normally leaves work at 5:00 pm, but she is leaving work 30 minutes late today. She decides to make up time by taking the toll road instead of side streets. She can travel four times faster by taking the toll road. Create an equation in terms of x to represent the number of minutes after 5:00 pm she arrives home from work if she leaves late. Let x represent the number of minutes her normal commute takes when she leaves on time.

(03.06 MC) Brad bought a piece of industrial real estate for $192,345. The value of the real estate appreciated at a constant rate per year. The table shows the value of the real estate after the first and second years: Year 1 2 Value (in dollars) $200,038.80 $208,040.35 Which function best represents the value of the real estate after t years?

(01.04 MC) A restaurant manager can spend at most $400 a day for operating costs and payroll. It costs $80 each day to operate the restaurant and $40 dollars a day for each employee. Use the following inequality to determine how many employees the manager can afford for the day, at most: 40x + 80 ≤ 400

The two distances that primarily influence magnification on a radiograph are the and the .

If a researcher is given a list of all 51,000 students that go to the university and the researcher breaks the list up into students who do not work at all, students who work part time, and students who work full time, then selects students from each of these three groups so the sample final sample has 40% non-working students, 40% part time working students, and 20% full time working students to match their population proportions, what type of sampling has occurred?

is defined as the difference in density or brightness between adjacent areas on an image, allowing for the distinction of structures with varying tissue densities.

(04.02 LC) What is the solution to the following system of equations? x − 3y = 62x + 2y = 4

A radiographer’s role is solely limited to operating the X-ray machine and does not involve direct patient interaction or emotional support.