Question

1.

1. A house was listed for sale for $218,600. When it didn't sell, the owners reduced its price by 10%.

   1. What is the percent change in the house price? (Remember that we use negative numbers to represent percentage decreases.

   2. By what number can we multiply the original listing price to get its new price? (Hint: What portion of the original price remains?) We can multiply the listing price by

   3. What is the new price after the reduction?

2. A bookstore is having a 30% off sale. A new hardcover book normally retails for $28.99.

   1. What is the percent change in the book price because of the sale?

   2. By what number can we multiply the original retail price to get its sale price? (Hint: What portion of the original price remains?) We can multiply the retail price by

   3. What is the price of the book on sale?

3. A furniture store is going bankrupt and liquidating their inventory at prices that are 65% off of the retail price. One sofa retails for $1589.99.

   1. What is the percent change in the sofa price because of the sale?

   2. By what number can we multiply the original retail price to get its sale price? (Hint: What portion of the original price remains?) We can multiply the retail price by   

   3. What is the price of the sofa on sale?

2.

The population of a town (Town #1) increased by 1.5% per year from 1995 to 2015. The town's population at the beginning of 1995 was 16,112.

1. Write a formula for function ff that models the town's population in terms of the number of years since the beginning of 1995, t

2. Over the same time period, a second town's (Town #2's) population increased by 2.3% per year. The town's population at the beginning of 1995 was 23,914. Write a formula for function g that models the town's population in terms of the number of years since the beginning of 1995, t

3.

A city's population was 18,400 people at the beginning of 2000 and grew by 4% per year. Use this information to complete the following. You may round off all growth factors to two decimal places, percent change values to the nearest percent, and population values to the nearest person.

1. The 1-year growth factor for the town's population is answer: 1.04   

2. The 5-year growth factor for the town's population is    answer: 1.21

3. The town's population 5 years after the beginning of 2000 was

4. The 5-year percent change for the town's population is

5. The 10-year growth factor for the town's population is    answer:1.48

6. The town's population 10 years after the beginning of 2000 was

7. The 10-year percent change for the town's population is

4.

1. If a function's 1-unit growth factor is 1.22, then:

   1. the 3-unit growth factor is answer: 1.81

   2. the 3-unit percent change is

2. If a function's 1-unit growth factor is 1.07, then:

   1. the 8-unit growth factor is answer: 1.71

   2. the 8-unit percent change is

3. If a function's 1-unit growth factor is 1.42, then:

   1. the 5-unit growth factor is answer:5.77

   2. the 5-unit percent change is

Answer 1