Constant of Proportionality
Identify the Graphs
Direct Variation
Inverse Variation
Identify the Relationship
100
Identify the constant of proportionality in this equation: y=1/4x.
What is 1/4?
100
What kind of shape does a direct variation graph make?
What is a line?
100
If a varies directly as b, and a is 3 when b is 24, find b when a is 10.
What is 80?
100
If y varies inversely with x, and y is 20 when x is 5, then write an equation for the inverse variation.
What is y=100/x?
100
Look at Table A. Does y vary directly with x? If so, write an equation for the direct variation. If not, explain why.
What is y=-1.25x?
200
If m varies directly as y and m is 6 when y is 36, find the constant of variation.
What is 1/6?
200
What kind of shape does an inverse variation graph make?
What are curves?
200
Determine whether 3x+2y=2 represents a direct variation. If so, find the constant of variation.
What is NOOOOOOO?
200
Suppose C varies inversely with D. If C is 50 when D is 11.5, find C when D is 20.
What is 28.75?
200
Look at Table B. Does y vary directly with x? If so, write an equation for the direct variation. If not, explain why.
What is NOOOOOOOOOOOOOO?
300
Suppose y varies inversely with x and y = 16 when x = 4. What is the constant of proportionality?
What is 64?
300
What point MUST a direct variation graph cross?
What is the origin?
300
On a certain map, 25 km are represented by 2 cm. If two cities are 7 cm apart on the map, what is the actual distance between them?
What is 87.5 km?
300
The pair of points (3, 8) and (x, 6) are on the graph of an inverse variation. What is the missing value?
What is 4?
300
Look at Table C. Does y vary directly with x? If so, write an equation for the direct variation. If not, explain why.
What is NOOOOOOOOOO?
400
If y varies inversely with x, and y = -16 when x = -64, what is the constant of variation?
What is 1024?
400
Which variation does Graph A represent?
What is NOOOOOOOOO?
400
Suppose y varies directly with x. If y is 1.85 when x is 0.925, then find the value of y when x is 8.
What is 16?
400
The cost per person to rent a mountain cabin is inversely proportional to the number of people who share the rent. If the cost is $36 per person when 5 people share, what is the cost per person when 8 people share?
What is $22.50?
400
Tell whether Table D represents a direct variation or an inverse variation. Write an equation to model the data. Then complete the table.
What is a direct variation, y=1/12x, and x=12?
500
The amount of fertilizer needed for a lawn varies directly with the area of the lawn. If 4 pounds of fertilizer are needed for 500 square feet of lawn, what is the constant of proportionality?
What is 0.008 or 1/125?
500
Which variation does Graph B represent?
What is inverse variation?
500
The amount of money earned on a job is directly proportional to the number of hours worked. If $36 is earned for 8 hours of work, how much is earned for 30 hours of work?
What is $135?
500
The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If the trip takes 6 hours at 900 km/h, how long would it take at 800 km/h?
What is 6.75 hours?
500
Tell whether Table D represents a direct variation or an inverse variation. Write an equation to model the data. Then complete the table.
What is NOOOOOOOOOO?