Answer:
B. Yes, the constant of proportionality is 2.
Explanation:
Given:
A linear relationship is shown in the table.
Time (hours) 2 4 6 8
Distance (miles) 4 8 12 16
Is the linear relationship also proportional? Explain.
A. No, the constant of proportionality is 2.
B. Yes, the constant of proportionality is 2.
C. No, there is no constant of proportionality.
D. Yes, there is no constant of proportionality.
Solve:
To know if a linear relationship is proportional, all we have to find out is if after we divide distance by time and if all equal the same. Ex: 4/4=1,3/3=1. As we can see all are equal to 1.
Let's see the table:
Time (hours) Distance (miles)
2 4
4 8
6 12
8 16
The formula for it is 'k=y/x'
where;
k: constant of proportionality
y and x are two quantities that are directly proportional to each other.
Also means;
y = Distance
x = Time(Hours)
Time (hours) Distance (miles)
2 4 4/2=2
4 8 8/4=2
6 12 12/6=2
8 16 16/8=2
As you see all equal to 2. It a constant. Also means that;
Yes, the linear relationship is proportional and the constant of proportionality is 2.
Answer: B. Yes, the constant of proportionality is 2.
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