1. Section 1.6 Problem Solving; Interest, Mixture, Uniform Motion, Constant Rate Jobs

3. OBJECTIVE 1

4. (a) For uniform motion, the time required for an object to travel equals the distance traveled divided by the velocity of the object. (b) The length of a rectangle is four times its width. (c) Five times a number, decreased by 3 (d) The product of 3 and a number increased by 5

5. OBJECTIVE 2

7. Suppose you borrow $1000 for 6 months at the simple interest rate of 6% per annum. What is the interest you will be charged on this loan? If you pay the loan back at the end of 6 months, what is the amount you must pay?

8. Jennifer has $100,000 to invest and requires an overall rate of return of 8%. She can invest in a safe, government-insured certificate of deposit, but it only pays 7%. To obtain 8% she agrees to invest some of her money in noninsured corporate bonds paying 10%. How much should be placed in each investment to achieve her goal?

9. OBJECTIVE 3

11. OBJECTIVE 4

13. Brad, who is a long-distance runner, runs at an average speed of 9 miles per hour. Three hours after Brad leaves his house, you leave in your Toyota and follow the same route. If your average speed is 45 mi/hr, how long will it be before you catch up to Brad? How far will each of you be from your home?

15. OBJECTIVE 5

16. Janice can paint a fence in 6 hours. If she has her son Mike help her, they can get the fence done in 4 hours. How long would Mike take to paint the fence if he worked alone?