Question

Which table represents a proportional relationship that has a constant of proportionality equal to 0.8?

Answer 1

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 = $\frac{y}{x}$

Table 1 using (8, 1), then k = $\frac{1}{8}$ = 0.125 ≠ 0.8

Table 2 using (10, 8), then k = $\frac{8}{10}$ = 0.8

Table 3 using (8, 0.8), then k = $\frac{0.8}{8}$ = 0.1 ≠ 0.8

Table 4 using (10, 20.8), then k = $\frac{20.8}{10}$ = 2.08 ≠ 0.8

The only table representing a proportional relationship with k = 0.8 is

Table 2

Answer 2

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