1. 2.1 Using Problem Solving Strategies and Models
Goal : Solve problems using verbal models
Pg. 24

2. Vocabulary Verbal Model Distance Formula
Writing an equation in words before you write it in mathematical symbols
Distance Formula
Distance = rate · time

3. Example #1, (Use a formula)
A bus travels at an average rate of 50 miles per hour. The distance between Atlanta and Miami is 663 miles. How long would it take for the bus to travel from Atlanta to Miami?
Solution
Use the distance formula for distance traveled as a verbal model.
= ·
________ = ________ · t
An equation for this situation is _____ = _____t.
_____ = _____t (Write the equation)
_____ ≈ t (Divide each side by _____)
Distance
(miles)
Rate
(mi/h)
Time
(hours)

4. Continued
The amount of time it would take to travel from Atlanta to Miami is about ______ hours.
Use unit analysis to check your answer
_____ miles ≈ _____ miles · _____ hours
hours

5. Checkpoint
In Example 1, how fast is the buss traveling if it takes 22 hours to travel from San Francisco to Colorado Springs, a distance of 1335 miles?
≈ 60.7 miles per hour

6. Example #2, (Look for a pattern)
The table shows the height (h) of a jet airplane (t) minutes after beginning its descent. Find the height of the airplane after 9 minutes.
Solution
The height decreases by 3000 feet per minute.
You can use this equation to write a verbal model for the height.
Time (min), t 1 2 3 4
Height (ft), h
35,000
32,000
29,000
26,000
23,000

7. Solution Height = Initial Height – Rate of Descent · Time
This is a Linear Equation
So, the height after 9 minutes is
h = ________ - _________(___) = ________ feet

9. Class Work and Homework
Pg. 26, 1 – 17 all