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The graph that shows a unit rate of 3/4, which is the time Cindy reads while riding in the car is the graph attached below.
<h3>What is Unit Rate?</h3>Unit rate can be described as a constant or exactly how much of one quantity is per 1 unit of another quantity.
Unite rate (k) = x/y.
In the graph attached below, when x (hours driving) = 3, y (hours reading) = 4.
Therefore, unit rate = 3/4. We can then conclude that the graph that shows that Cindy reads 3/4 of the time she rides in a car is the graph attached below.
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Answer:
Therefore,
(x , y) YES / NO
(-4, -5) Yes, It is a Solution.
(1 , - 3) No, not a Solution.
(9 , 6) No, not a Solution.
(-6 , 2) No, not a Solution.
Step-by-step explanation:
Given:
To Determine:
Given ordered pair is a solution or not ?
Solution:
For (-4,-5)
Substitute x = -4 and y = -5 in above equation
Left Hand Side = 4 × (-4) - 7 × (-5)
= -16+35
= 19
Right Hand Side = 19
Left Hand Side = Right Hand Side
Satisfied
Hence (-4, -5) is the SOLUTION to 4x - 7y =19 (YES)
For (1, -3)
Substitute x = 1 and y = -3 in above equation
Left Hand Side = 4 × (1) - 7 × (-3)
= 25
Right Hand Side = 19
Left Hand Side ≠ Right Hand Side
Not Satisfied
Hence (1, -3) is NOT the Solution to 4x - 7y =19 (NO)
For (9, 6)
Substitute x = 9 and y = 6 in above equation
Left Hand Side = 4 × (9) - 7 × (6)
= -6
Right Hand Side = 19
Left Hand Side ≠ Right Hand Side
Not Satisfied
Hence (9, 6) is NOT the Solution to 4x - 7y =19 (NO)
For (-6, 2)
Substitute x = -6 and y = 2 in above equation
Left Hand Side = 4 × (-6) - 7 × (2)
= -38
Right Hand Side = 19
Left Hand Side ≠ Right Hand Side
Not Satisfied
Hence (-6, 2) is NOT the Solution to 4x - 7y =19 (NO)
Therefore,
(x , y) YES / NO
(-4, -5) Yes, It is a Solution.
(1 , - 3) No, not a Solution.
(9 , 6) No, not a Solution.
(-6 , 2) No, not a Solution.