AnswersWHS Pre-Algebra - MA3119 A-CRProportional Relationships

Proportional Relationships Answers

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5

Caleb made the table below to show the number of hours he works and the amounts he earns over a four-week period.Caleb’s EarningsHours12151821Earnings(in dollars)140170200230Which describes whether the relationship between the earnings and the number of hours represents a direct variation?

H
He earns 20 more than 10 times the number of hours he works each week, so the earnings vary directly with the hours.
T
The earnings increase by 30 for every increase of 3 hours, so the earnings vary directly with the hours.
T
The ratios of earnings to hours are not the same each week, so the earnings do not vary directly with the hours.
T
The earnings increase at a steady rate, so the earnings do not vary directly with the hours.
7

Corrine wrote temperatures in degrees Celsius and the equivalent temperatures in degrees Fahrenheit.Equivalent TemperaturesCelsius–1051020Fahrenheit14415068Which explains how Corrine could determine if the temperatures vary directly?

A
Compare the equivalent temperatures as a ratio; if the ratios are equivalent, then the temperatures vary directly.
B
Draw a graph of the temperatures; if the points form a straight line, then the temperatures vary directly.
C
Write an equation that converts one temperature to another; if the temperatures satisfy the equation, then they vary directly.
D
Look for a pattern in the table; if the pattern is consistent, then the temperatures vary directly.
8

Lydia writes the equation below with a missing value.She puts a value in the box and says that the equation represents a direct variation. Which explains whether the equation could represent a direct variation?

Question illustration
A
If she puts 0 in the box she would have a direct variation.
B
If she puts 5 in the box she would have a direct variation.
C
The equation is not of the form , so it cannot represent a direct variation.
Option C
D
The equation has a minus sign, so it cannot represent a direct variation.
10

Which explains whether or not the values in the table represent a direct variation?x461020y11.52.55

A
The table represents a direct variation because the values are proportional.
B
The table represents a direct variation because the values are nonproportional.
C
The table does not represent a direct variation because the values are proportional.
D
The table does not represent a direct variation because the values are nonproportional.

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