Student Homework on Composition of Functions Each horse you own eats 4 bales of hay per month. Each bale of hay costs $15.
Create a function called f whose input is the number of horses you own and whose output is the number of bales of hay eaten per month. Use x as your input variable. Create a function called g whose input is the number of bales of hay eaten per month and whose output is the total cost. Use x as your input variable.
Create a function called h whose input is the number of horses you own and whose output is the total cost. Use x as your input variable.
If you own 5 horses, use your functions f, g and h to find out how many bales of hay are eaten per month and how much money this will cost. Draw a diagram of the three functions f, g, and h. Show the input and output of each function, and their relationship.
All shirts are on sale at 25% off (to 75% of their original price) and are then subject to sales tax of 8.5%.
Write the function f, which pertains to the 25% off. The input is a price and the output is a sales price.
Write the function g, which pertains to the sales tax of 8.5%. The input is a price and the output is the price along with the sales tax.
Write the function h, which is the composition of these two functions. Draw a diagram, which shows the functions f, g and h.
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.
