Which table represents a proportional relationship that has a constant of proportionality equal to 0.8?
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Answer:
Table 2
Step-by-step explanation:
Since y is proportional to x then the equation relating them is
y = kx ← k is the constant of proportionality
To find k use a ordered pair from each table
k = [tex]\frac{y}{x}[/tex]
Table 1 using (8, 1), then k = [tex]\frac{1}{8}[/tex] = 0.125 ≠ 0.8
Table 2 using (10, 8), then k = [tex]\frac{8}{10}[/tex] = 0.8
Table 3 using (8, 0.8), then k = [tex]\frac{0.8}{8}[/tex] = 0.1 ≠ 0.8
Table 4 using (10, 20.8), then k = [tex]\frac{20.8}{10}[/tex] = 2.08 ≠ 0.8
The only table representing a proportional relationship with k = 0.8 is
Table 2