1. 1.6b Modeling Practice

2. Right in with practice problems… When a number is added to its double and its triple, the sum is 714. Find the three numbers. Three numbers: 119, 238, 357

3. Guided Practice The consumer price index for food and beverages in 1997 was 161.3 after a modest 1.7% increase from the previous year. What was the index the previous year? CPI was approx. 158.6

4. Guided Practice On their 560-mile trip, a basketball team spent two more hours on the interstate highway than they did on local highways. They average 45 mph on local highways and 55 mph on the interstate highways. How many hours did they spend driving on local highways? t = hours spent on local highways Distance on local highways: Distance on interstate highways:

5. Guided Practice On their 560-mile trip, a basketball team spent two more hours on the interstate highway than they did on local highways. They average 45 mph on local highways and 55 mph on the interstate highways. How many hours did they spend driving on local highways? t = 4.5 hours t = hours spent on local highways Total distance travelled:

6. Guided Practice Ruth is weighing two job offers from the sales departments of two competing companies. One offers a base salary of $25,000 plus 5% of gross sales; the other offers a base salary of $20,000 plus 7% of gross sales. What would Ruth’s gross sales total need to be to make the second job offer more attractive than the first? Let x be the gross sales For the second job to be more attractive than the first, we need:

7. Guided Practice Ruth is weighing two job offers from the sales departments of two competing companies. One offers a base salary of $25,000 plus 5% of gross sales; the other offers a base salary of $20,000 plus 7% of gross sales. What would Ruth’s gross sales total need to be to make the second job offer more attractive than the first? Let x be the gross sales For the second job to be more attractive than the first, we need: Gross sales would have to exceed $250,000

8. Guided Practice From 1996 to 1997, the U.S. shipments of personal computers grew from 26,650,000 to 30,989,000. What was the percentage increase in U.S. personal computer shipments? An approximate 16.281% increase

9. Guided Practice A chemistry lab keeps two acid solutions on hand. One is 20% acid and the other is 35% acid. How much 20% acid solution and how much 35% acid solution should be used to prepare 25 liters of a 26% acid solution? x = amount of 20% solution, y = amount of 35% solution

10. Guided Practice A chemistry lab keeps two acid solutions on hand. One is 20% acid and the other is 35% acid. How much 20% acid solution and how much 35% acid solution should be used to prepare 25 liters of a 26% acid solution? x = amount of 20% solution, y = amount of 35% solution x = 15 liters, y = 10 liters