HELP PLEASE!!! THIS IS URGENT!! When Isabel began her book-selling business, she stored her inventory in her garage. Now that he
r business has grown, she wants to rent warehouse space. Lisa owns a large warehouse nearby and can rent space to Isabel. The area of the warehouse is 8,100 square feet. Lisa is willing to rent Isabel as little as 100 square feet of the space or up to as much as the entire warehouse. Her only requirement is that all spaces must be square. The total length of each row of bookshelves will be of the length of the storage space.
⦁ Let x be the area of the space that Isabel rents and f(x) represent the total length of a row of bookshelves. How would you find the length of a row of bookshelves? (3 points)
⦁ Write a function that expresses f(x). (10 points)
⦁ Graph the function. (10 points)
Part 3: Solve a real-world problem using a cube root function.
Once Isabel rented the warehouse space, she decided to post ads on several social media sites to advertise her online bookstore. Let x represent the number of months the ads have been posted. Isabel finds that the function below describes the number of books sold as a function of the number of months her ads have been posted.
f(x) = 1000 + 1000
⦁ How many books were sold after 8 months? (3 points)
⦁ Graph the function. (10 points)
Part 4: Solve a real-world problem using an absolute value function.
A transaction is positive if there is a sale and negative when there is a return. Each time a customer uses a credit card for a transaction, the credit company charges Isabel. The credit company charges 1.5% of each sale and a fee of 0.5% for returns.
⦁ Let x represent the amount of a transaction and let f(x) represent the amount Isabel is charged for the transaction. Write a function that expresses f(x). (10 points)
⦁ Graph the function. (10 points)
⦁ What are the domain and range of the function? (5 points)
