Question

which equation has a constant of proportionality equal to 1? choose 1 answer: a $y = \frac{10}{11}x$ b $y = \frac{7}{8}x$ c $y = \frac{3}{15}x$ d $y = x$

Explanation:

Step1: Recall proportional - equation form

The equation of direct proportionality is \(y = kx\), where \(k\) is the constant of proportionality.

Step2: Check each option

• Option A: For \(y=\frac{10}{11}x\), \(k = \frac{10}{11}

eq1\).

• Option B: For \(y=\frac{7}{8}x\), \(k=\frac{7}{8}

eq1\).

• Option C: For \(y = \frac{3}{15}x=\frac{1}{5}x\), \(k=\frac{1}{5}

eq1\).

• Option D: For \(y=x\), we can write it as \(y = 1x\), so \(k = 1\).

Answer:

D. \(y=x\)