Question

Which equation represents the proportional relationship displayed in the table?
x 4 9 11 14
y 32 72 88 112


y = 8x

y = 8x + 4

y=18x

I don't know.

Answer 1

The equation represents the proportional relationship displayed in the table is y = 8x

From the given table, we can see that as the value of x is increasing, the value of y is also increasing. This shows that there is a direct proportionality between x and y

If y is directly proportional to x, hence;

y = kx

k is the constant of proportionality

If x = 4, y = 32

32 = 4k

k = 8

Substitute k = 8 into the formula as shown:

y = 8x

Hence the equation represents the proportional relationship displayed in the table is y = 8x

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