1. Today’s objective:
1. I will use a gener al pr oblem
solving plan to solve r eal-life
pr oblems.

2. When solving real-life problems,
it is sometimes helpful to first
write an equation in words
before you write it in
mathematical symbols.
 Verbal model: a word equation
that represents a real-life
problem.
 Algebraic model: a
mathematical statement that

3. 1. Write a verbal
model.
2. Assign labels.
3. Write an algebraic
model.
4. Solve the algebraic
model.

4.  The Bullet Train runs  Verbal Model
between Osaka and Distance = Rate x Time
Fukuoka, a distance  Labels
of 550 kilometers. Distance = 550km
When it makes no Rate = r
stops, it takes 2 Time = 2.25 hours
hours and 15  Algebraic Model
minutes to make the 550 = r(2.25)
trip. What is the  Solve algebraic model
average speed of the r = 550/2.25 ≈ 244
Bullet Train?  Answer the question
The Bullet Train’s average
speed is about 244 km/h.

5.  A water-saving faucet  Verbal Model
has a flow rate of at Volume = Flow rate x Time
most 9.6 cubic inches  Labels
per second. To test Volume = 470
whether your faucet Rate = r
meets this standard,
Time = 35 seconds
you time how long it
 Algebraic Model
takes the faucet to fill
a 470 cubic inch pot, 470 = r(35)
obtaining a time of 35  Solve algebraic model
seconds. Find your r = 470/35 ≈ 13.4
faucet’s flow rate.  Answer the question
Does it meet the The flow rate is about 13.4
standard for water in.3/s, which does not meet
conservation? the standard.