Question

jenny dreams of becoming the national spelling bee champion. she can already spell a lot of the words on her study list, but she needs to learn even more. this table shows the relationship between the time (in hours) that jenny spends studying, x, and the total number of words on the study list that she can spell, y. according to the values in the table, do x and y have a proportional relationship?

Explanation:

Step1: Calculate the ratio for each pair

For \(x = 2,y = 149\), the ratio is \(\frac{y}{x}=\frac{149}{2}=74.5\)
For \(x = 3,y = 169\), the ratio is \(\frac{y}{x}=\frac{169}{3}\approx56.33\)
For \(x = 10,y = 309\), the ratio is \(\frac{y}{x}=\frac{309}{10}=30.9\)
For \(x = 16,y = 429\), the ratio is \(\frac{y}{x}=\frac{429}{16}=26.8125\)

Step2: Check for proportionality

Since the ratios \(\frac{y}{x}\) are not equal (\(74.5
eq56.33
eq30.9
eq26.8125\))

Answer:

no