The relation that is represented by the equation y = 45 – 3x has the domain {5, 7, 9, 11}. Which of the following sets is the range of the relation?

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18-05-2018
Mathematics

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The relation that is represented by the equation y = 45 – 3x has the domain {5, 7, 9, 11}. Which of the following sets is the range of the relation?

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gmany gmany · Answer 1 · 2018-05-18T10:18:49+02:00

gmany gmany

18-05-2018

D = {5; 7; 9; 11}
y = 45 - 3x
substitute the values of x from the domain to the equation:

for x = 5: y = 45 - 3 · 5 = 45 - 15 = 30for x = 7: y = 45 - 3 · 7 = 45 - 21 = 24for x = 9: y = 45 - 3 · 9 = 45 - 27 = 18for x = 11: y = 45 - 3 · 11 = 45 - 33 = 12
Answer: The range is { 12; 18; 24; 30}.

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