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solving for constant of proportionality
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Jon hiked 3/4 mile in 1/8 of an hour. How fast did he hike in miles per hour?
6 mph
Michelle types 450 words in 9 minutes. How many words can she type in an hour?
3,000 words
In 8 hours a car traveled 512 miles. What was the speed per hour?
64 mph
The point on the graph is (4, 28). What is the constant of proportionality?
7
Is this table proportional? If yes, what is the constant of proportionality?
No there is no constant. The ratios of y/x are not equivalent
What math vocabulary have you learned this unit which you should use in your explanations? You need at least 3
Constant of proportionality, unit rate, equivalent ratios, origin, equation, complex fraction
Is the equation y = 45x a proportional relationship? If it is-what is the constant of proportionality?
Yes. The constant is 45
Is the equation y=0.3x a proportional relationship? If it is-what is the constant of proportionality?
Yes- 0.3
Is this relationship proportional? How do you know?
No-It does not cross the origin
Is this relationship proportional? How do you know?
Yes-it's a straight line through the origin
Is this relationship proportional? How do you know?
No! It's not a straight line
What is an equivalent ratio to 4:6?
2:3. 8:12, 12:18 etc....any ratio that equals 0.6666667 when converted to a decimal
What mathematical operation is taking place with a fraction?
DIVISION- divide the numerator by the denominator (how many times does the bottom number go into the top number)
The point on the graph is (6, 47.94). What is the constant of proportionality?
7.99
Is the equation y=3x a proportional relationship? If it is-what is the constant of proportionality?
Yes- the constant is 3
What is the constant of proportionality in this table? What is the equation?
COP = 12 y = 12x
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