### Use Your Knowledge of English:

Insurance statistics state that a person loses 8 minutes of average life for each cigarette smoked. If there are 20 cigarettes in a pack and the average cost of cigarettes are \$5.00 per pack over the next 25 years, how many years of average life would a person lose for smoking 1.5 packs a day for 25 years?

### _???__years avglife = 25 yearssmoking

1. From the Problem write down all the Equivalent Relationships given or Unit Factors.
• 8 minutesavglife = 1 cigsmoking
• 20 cig = 1 pack
• 1 pack = 5.00 dollars
• 1.5 pack = 1 daysmoking
2. Beware of our Tricks!

• We disguise numbers by making them words.

each cig equates to 1 cig

• We leave out obvious equivalent relationships, or relationships we think you should know.

365 days = 1 year
60 minutes = 1 hour
24 hour = 1 day
(I also use to leave out 20 cig = 1 pack in this problem)

• We stick extra information in the form of numbers and equivalent relationship you will not need to solve the problem

the average cost of cigarettes are \$5.00 per pack

3. Formulate a road map which connects the unit of the given to the unit of the answer by equivalent relationships.

### The Question:

____???____ yrlifelost = 25 yrsmoking

### Given Unit Factors

• 1 cig = 8 minlifelost
• 1 pack = 20 cig
• 1 pack = 5.00 dollars
• 1 day = 1.5 packsmoking

### Unit Factors Not Given

• 1 yr = 365 days (or 365.25 days)
• 1 day = 24 hr
• 1 hr = 60 min

## The Solution:

1. The important bridge between life lost and smoking is the
8 minutes lost = 1 cig smoked Unit Factor.

2. Connect 25 years of smoking to total cigarettes via the unit factor
1.5 packs = 1 day smoking

3. Change years of smoking to days of smoking
then to total packs,
then to total cigarettes.

4. Next change the 8 minutes of life to years of life lost via the unit factors left out of the problem:
60 min = 1 hr
24 hr = 1 day
365 day = 1 year

5. Setup the Dimensional Analysis Sequence: