Directions: Solve each problem by using composite functions. Be sure to show all work. 1. You wish to purchase an item that retails for $375. You have a $25 off coupon and a 10% off discount. What is your final sale price if you apply the coupon and then the discount at checkout? 2. A rock is dropped into a pond. What is the spread of the circular ripple after 25 seconds if the ripple travels outward at a speed of 20 cm/sec? 3. Shoe sizes are marked differently in many countries. In Japan, a shoe size is 16 more than the size in the United States. In Korea, a shoe size is 224 more than the size in Japan. Determine the function of the U.S. size of a shoe in terms of the shoe size in Korea. What is the U.S. shoe size of a shoe that is 250 in Korea? 4. What is the volume of a spherical balloon after 11 seconds if the radius of the balloon is increasing at 1.3 cm/sec? Round to the nearest tenth of a centimeter. 5. A manufacturer sells a lawn mower to a store at $75 over the manufacturing cost. The store then sells the lawn mower for 140% of the price paid to the manufacturer. Determine the function of the price of a lawn mower in terms of the cost to manufacture the mower. What price will a customer pay for this mower if the manufacturer's cost was $230?
Directions: Solve each problem by using composite functions. Be sure to show all work. 1. You wish to purchase an item that retails for $375. You have a $25 off coupon and a 10% off discount. What is your final sale price if you apply the coupon and then the discount at checkout? 2. A rock is dropped into a pond. What is the spread of the circular ripple after 25 seconds if the ripple travels outward at a speed of 20 cm/sec? 3. Shoe sizes are marked differently in many countries. In Japan, a shoe size is 16 more than the size in the United States. In Korea, a shoe size is 224 more than the size in Japan. Determine the function of the U.S. size of a shoe in terms of the shoe size in Korea. What is the U.S. shoe size of a shoe that is 250 in Korea? 4. What is the volume of a spherical balloon after 11 seconds if the radius of the balloon is increasing at 1.3 cm/sec? Round to the nearest tenth of a centimeter. 5. A manufacturer sells a lawn mower to a store at $75 over the manufacturing cost. The store then sells the lawn mower for 140% of the price paid to the manufacturer. Determine the function of the price of a lawn mower in terms of the cost to manufacture the mower. What price will a customer pay for this mower if the manufacturer's cost was $230?
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.CT: Test
Problem 16CT
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Transcribed Image Text:Directions: Solve each problem by using composite functions. Be sure to show all work.
1. You wish to purchase an item that retails for $375. You have a $25 off coupon and a 10% off discount. What is your final sale
price if you apply the coupon and then the discount at checkout?
2. A rock is dropped into a pond. What is the spread of the circular ripple after 25 seconds if the ripple travels outward at a
speed of 20 cm/sec?
3. Shoe sizes are marked differently in many countries. In Japan, a shoe size is 16 more than the size in the United States. In
Korea, a shoe size is 224 more than the size in Japan. Determine the function of the U.S. size of a shoe in terms of the shoe
size in Korea. What is the U.S. shoe size of a shoe that is 250 in Korea?
4. What is the volume of a spherical balloon after 11 seconds if the radius of the balloon is increasing at 1.3 cm/sec? Round to
the nearest tenth of a centimeter.
5. A manufacturer sells a lawn mower to a store at $75 over the manufacturing cost. The store then sells the lawn mower for
140% of the price paid to the manufacturer. Determine the function of the price of a lawn mower in terms of the cost to
manufacture the mower. What price will a customer pay for this mower if the manufacturer's cost was $230?
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