The variable y has a proportional relationship with x as suggested by the graph. Use the graph to find the constant of proportio
nality.
2 answers:
Step-by-step explanation:
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Proportional Relationships
A proportional relationship is one in which two quantities vary directly with each other. We say the variable y varies directly as x if:
y=kx
for some constant k , called the constant of proportionality .
(Some textbooks describe a proportional relationship by saying that " y varies proportionally with x " or that " y is directly proportional to x .")
This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.
The graph of the proportional relationship equation is a straight line through the origin.
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Answer: Sue spends travelling 3.5 hours and spends stationary 2.5 hours
Step-by-step explanation:
The attached image shows Sue's distance-time graph, from there we can observe the segments where she is stationary (lines with no slope) and the segments where she is travelling (lines with slope).
<u>Time spent travelling:</u>
From 2 p.m. to 3 p.m. is 1 hour
From 3:30 p.m. to 4 p.m. is 0.5 hour
From 5 p.m. to 6:30 p.m. is 1.5 hours
From 7:30 p.m. to 8 p.m. is 0.5 hour
Total time travelling=1 h+0.5 h+1.5h+0.5h=3.5 h
<u>Time spent stationary:</u>
From 3 p.m. to 3:30 p.m. is 0.5 hour
From 4 p.m. to 5 p.m. is 1 hour
From 6:30 p.m. to 7:30 p.m. is 1 hour
Total time travelling=0.5 h+1 h+1h=2.5 h
