Martin-Gay, Beginning Algebra, 5ed 22 General Strategy for Problem Solving 1Introduction: Understand...
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Transcript of Martin-Gay, Beginning Algebra, 5ed 22 General Strategy for Problem Solving 1Introduction: Understand...
Martin-Gay, Beginning Algebra, 5ed 22
General Strategy for Problem Solving
1 Introduction: Understand the problem by:• Read and reread the problem• Choose a variable to represent the unknown• Construct a drawing, whenever possible
2. Body: Translate the problem into an equation
and solve the equation
3. Conclusion: Interpret your result• State your conclusion
Martin-Gay, Beginning Algebra, 5ed 33
I Introduction:
II Body:
III Conclusion:
Martin-Gay, Beginning Algebra, 5ed 44
I Introduction:
II Body:
III Conclusion:
Martin-Gay, Beginning Algebra, 5ed 55
I Introduction:
II Body:
A car rental agency advertised renting a Buick Century for $24.95 per day and $0.29 per mile. If you rent this car for 2 days, how many whole miles can you drive on a $100 budget?
Let x = the number of whole miles driven
0.29x = the cost for mileage driven
Daily costs
2(24.95)
mileage costs
0.29x
plus
+
is equal to
= 100
maximum budget
Martin-Gay, Beginning Algebra, 5ed 66
II Body Continued:
2(24.95) + 0.29x = 100
49.90 + 0.29x = 100 Simplify left side.
0.29x = 50.10 Simplify both sides.
29.0
10.50
29.0
29.0x
Divide both sides by 0.29.
x 172.75 Simplify both sides.
Subtract 49.90 from both sides.49.90 – 49.90 + 0.29x = 100 – 49.90
The maximum number of whole number miles is 172.III Conclusion:
Martin-Gay, Beginning Algebra, 5ed 77
I Introduction
II Body
Martin-Gay, Beginning Algebra, 5ed 88
III Conclusion:
II Body Continued:
Martin-Gay, Beginning Algebra, 5ed 99
I Introduction:
II Body:
Martin-Gay, Beginning Algebra, 5ed 1010
III Conclusion:
II Body Continued:
Martin-Gay, Beginning Algebra, 5ed 1111
I Introduction:
II Body:
Martin-Gay, Beginning Algebra, 5ed 1212
III Conclusion:
II Body Continued: