2. Main Idea and New Vocabulary
Example 1: Real-World Example: Translate a Table into an Equation
Example 2: Real-World Example: Translate a Table into an Equation
Example 3: Real-World Example: Translate a Graph into an Equation
Example 4: Real-World Example: Translate a Graph into an Equation
Key Concept: Representing Equations
Example 5: Real-World Example: Represent Equations
Example 6: Real-World Example: Represent Equations
Lesson Menu

3. Translate tables and graphs into linear equations.
Main Idea/Vocabulary

4. Translate a Table into an Equation
MEASUREMENT The table shows the relationship between miles and kilometers. Write an equation to find the number of miles in any number of kilometers. Describe the relationship in words.
Example 1

5. Translate a Table into an Equation
Let k represent the kilometers and m represent the miles.
Answer: The equation is m = 0.62k. There is mile in every kilometer.
Example 1

6. The table shows the relationship between kilograms and pounds
The table shows the relationship between kilograms and pounds. Write an equation to find the number of kilograms in any number of pounds.
A. k = 0.45p
B. p = 0.45k
C. p = k
D. k = 1 – 0.55p
Example 1 CYP

7. Translate a Table into an Equation
MEASUREMENT The table shows the relationship between miles and kilometers. Use the equation m = 0.62k to find the number of miles in 20 kilometers.
m = 0.62k Write the equation.
m = 0.62(20) Replace k with 20.
m = 12.4 Multiply.
Answer: There are 12.4 miles in 20 kilometers.
Example 2

8. The table shows the relationship between kilograms and pounds
The table shows the relationship between kilograms and pounds. Use the equation k = 0.45p to find the number of kilograms in 9 pounds.
A kilograms
B. 3.6 kilograms
C kilograms
D. 4.5 kilograms
Example 2 CYP

9. Translate a Graph into an Equation
HIKING The total numbers of miles Suki hiked on certain days are shown. Write an equation to find the number of miles hiked after any number of days.
The ordered pairs shown on the graph are (1, 1.5), (2, 3), (3, 4.5), (4, 6), and (5, 7.5).
Example 3

10. Translate a Graph into an Equation
Let m represent the miles and d represent the days.
Answer: The equation is m = 1.5d.
Example 3

11. BICYCLING The total numbers of miles Robert bicycled on certain days are shown. Write an equation to find the number of miles m biked after any number of days d.
A. m = 4.5d
B. m = 5.5d
C. d = 4.5m
D. d = 5.5m
Example 3 CYP

12. Translate a Graph into an Equation
HIKING The total numbers of miles Suki hiked on certain days are shown. Use the equation m = 1.5d to find the number of miles Suki will hike after 1 week.
Example 4

13. Translate a Graph into an Equation
m = 1.5d Write the equation.
m = 1.5(7) Replace d with 7.
m = 10.5 Multiply.
Answer: Suki will hike 10.5 miles after 1 week.
Example 4

14. BICYCLING The total numbers of miles Robert bicycled on certain days are shown. Use the equation m = 4.5d to find the number of miles Robert will ride after 2 weeks.
A miles
B. 54 miles
C. 63 miles
D. 67 miles
Example 4 CYP

15. Key Concept

16. Let b represent the number of beats and m represent the minutes.
Represent Equations
HEART RATES The average heart rate of a chicken is 275 beats per minute. Write an equation to find the number of beats in any number of minutes.
Let b represent the number of beats and m represent the minutes.
Answer: The equation is b = 275m.
Example 5

17. MUSIC The tempo of a song is measured in beats per minute
MUSIC The tempo of a song is measured in beats per minute. If a song’s tempo is 120 beats per minute, write an equation to find the number of beats b in any number of minutes m.
A. m = 120b
B. m = 60b
C. b = 120m
D. b = 60m
Example 5 CYP

18. Represent Equations
HEART RATES The average heart rate of a chicken is 275 beats per minute. Make a table to find the number of beats in 1, 2, 3, 4, or 5 minutes. Then graph the ordered pairs.
Answer:
Example 6

19. MUSIC The tempo of a song is measured in beats per minute
MUSIC The tempo of a song is measured in beats per minute. If a song’s tempo is 120 beats per minute, make a table to find the number of beats in 1, 2, 3, or 4 minutes.
A. B.
C. D.
Example 6 CYP