The director of a baseball camp estimates that 100 students will enroll if the tuition is $250. For each $20 increase in tuition, eight fewer students will enroll. Determine a linear function that will predict the number of students (y) who will enroll at a given tuition (x).

1. The number of students enrolled at SFCC is the input to the function , and the total tuition generated is the output. The president of SFCC has been working with this function to keep the budged balanced.  But now he wants this function broken down.  He knows that the average number of credits taken by an SFCC student each semester is 8 (use this to create function whose input is the number of students and whose output is the total number of credits taken by these students).  Tuition is $44.50 per credit hour (use this to create function g whose input is the number of credit hours at SFCC and whose output is the tuition created by these credit hours).  Write out the functions ,  and .  Show their relationship with a diagram.
2. The number of students enrolled at SFCC is the input to the function , and the total tuition generated is the output. The president of SFCC has been working with this function to keep the budged balanced.  But now he wants this function broken down.  He knows that the average number of credits taken by an SFCC student each semester is 8 (use this to create function whose input is the number of students and whose output is the total number of credits taken by these students).  Tuition is $44.50 per credit hour (use this to create function g whose input is the number of credit hours at SFCC and whose output is the tuition created by these credit hours).  Write out the functions ,  and .  Show their relationship with a diagram.

The number of students enrolled at SFCC is the input to the function h, and the total tuition generated is the output. The president of SFCC has been working with this function to keep the budged balanced. But now he wants this function broken down. He knows that the average number of credits taken by an SFCC student each semester is 8 (use this to create function f whose input is the number of students and whose output is the total number of credits taken by these students). Tuition is $44.50 per credit hour (use this to create function g whose input is the number of credit hours at SFCC and whose output is the tuition created by these credit hours). Write out the functions f, g and h. Show their relationship with a diagram.

algebra question