Section 2.7 Mixture Applications and Uniform Motion 161 b. To compute the distance each family traveled, use Family A traveled (48 mph)(2.5 hr) 120 mi. Family B traveled (60 mph)(2.5 hr) 150 mi. d rt. Skill Practice 4. A Piper airplane has an average air speed that is 10 mph faster than a Cessna 150 airplane. If the combined distance traveled by these two small planes is 690 mi after 3 hr, what is the average speed of each plane? Section 2.7 Practice Exercises Study Skills Exercise The following is a list of steps to help you solve word problems. Check those that you follow on a regular basis when solving a word problem. Place an asterisk next to the steps that you need to improve. _____ Read through the entire problem before writing anything down. _____ Write down exactly what you are being asked to find. _____ Write down what is known and assign variables to what is unknown. _____ Draw a figure or diagram if it will help you understand the problem. _____ Highlight key words like total, sum, difference, etc. _____ Translate the word problem to a mathematical problem. _____ After solving, check that your answer makes sense. Review Exercises For Exercises 1–3, solve for the indicated variable. ax by c for x cd r for c 7x xy 18 for y 1. 2. 3. For Exercises 4–6, solve each equation. 2d 11 4 d 312y 52 81y12 3y 3 0.02x 0.04110x2 1.26 4. 5. 6. Concept 1: Applications Involving Cost For Exercises 7–12, write an algebraic expression as indicated. Answer 4. The Cessna’s speed is 110 mph, and the Piper’s speed is 120 mph. 7. Two numbers total 200. Let t represent one of the numbers. Write an algebraic expression for the other number. 8. The total of two numbers is 43. Let s represent one of the numbers. Write an algebraic expression for the other number.
miller_beginning_intermediate_algebra_4e_ch1_3
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