Question

denise 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 denise 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? yes no

Explanation:

Step1: Calculate the ratio for each pair

For the first pair \((x = 2.5,y = 247)\), the ratio is \(\frac{y}{x}=\frac{247}{2.5}=98.8\).
For the second pair \((x = 9,y = 299)\), the ratio is \(\frac{y}{x}=\frac{299}{9}\approx33.22\).
For the third pair \((x = 12.5,y = 327)\), the ratio is \(\frac{y}{x}=\frac{327}{12.5}=26.16\).
For the fourth pair \((x = 19.5,y = 383)\), the ratio is \(\frac{y}{x}=\frac{383}{19.5}\approx19.64\).

Step2: Check if ratios are equal

Since \(98.8
eq33.22
eq26.16
eq19.64\), the ratios \(\frac{y}{x}\) are not constant.

Answer:

no