Question

for each table, determine whether it shows that x
if x and y are proportional, fill in the blank with a n
table 1
x 10 30 56
y 2 5 8
proportional
y is times x
not proportional

Explanation:

Step1: Check proportionality

For \(x\) and \(y\) to be proportional, \(\frac{y}{x}\) should be constant.

• For \(x = 10, y = 2\): \(\frac{y}{x}=\frac{2}{10}=\frac{1}{5} = 0.2\)
• For \(x = 30, y = 5\): \(\frac{y}{x}=\frac{5}{30}=\frac{1}{6}\approx0.1667\)
• For \(x = 56, y = 8\): \(\frac{y}{x}=\frac{8}{56}=\frac{1}{7}\approx0.1429\)

Step2: Determine proportionality

Since \(\frac{y}{x}\) is not constant ( \(0.2
eq0.1667
eq0.1429\) ), \(x\) and \(y\) are not proportional.

Answer:

Not proportional