Given the equation, determine whether a direct variation exists. If yes, identify the constant of variation.
No
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20
The cost to board a dog at a kennel varies directly to the number of nights in which the dog will stay. If four nights cost $96, identify the constant of variation and write an equation to represent the relationship.
y=24x
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10
Given the table, determine whether a direct variation exists. If yes, identify the constant of variation and write the equation that represents the relationship.
Yes; k=1/3; y=1/3x
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20
Given the graph, determine whether a direct variation exists. If yes, identify the constant of variation and write the equation that represents the relationship.
No
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15
Given the table, determine whether a direct variation exists. If yes, identify the constant of variation and write the equation that represents the relationship.
No
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15
Given the table, determine whether a direct variation exists. If yes, identify the constant of variation and write the equation that represents the relationship.
Yes; k = 4; y = 4x
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25
The number of calories in a bag of cookies varies directly to the number of cookies in the bag. If a bag with sixteen cookies contains 1,120 calories, determine how many calories are in five cookies.
350 calories
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20
Determine if the data shown in the table represents a proportional relationship. If yes, give the constant rate.
Yes; 38 words/minute
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banana
Go to last place!
Oops!
shark
Other team loses 20 points!
Okay!
gift
Win 10 points!
Okay!
banana
Go to last place!
Oops!
10
Given the table, determine whether a direct variation exists. If yes, identify the constant of variation and write the equation that represents the relationship.
No
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Check
Okay!
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5
Given the equation, determine whether a direct variation exists. If yes, identify the constant of variation.
Yes; k=-1
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heart
Other team wins 25 points!
Oops!
fairy
Take points!
5
10
15
20
25
rocket
Go to first place!
Okay!
lifesaver
Give 25 points!
Oops!
20
The cost to download songs on a music app varies directly to the number of songs downloaded. If it costs $5.95 to download 7 songs, find the cost to download 20 songs.
$17
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20
Given the graph, determine whether a direct variation exists. If yes, identify the constant of variation and write the equation that represents the relationship.
Yes; k=2; y=2x
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15
Given the graph, determine whether a direct variation exists. If yes, identify the constant of variation and write the equation that represents the relationship.