Question

a. determine whether the relationship between the two data sets in each is proportional

1. data set one: 5, 30; data set two: 3, 18
2. data set one: 25, 45; data set two: 35, 50
3. data set one: 18, 28; data set two: 45, 70
4. data set one: 279, 434; data set two: 45, 70

Explanation:

Step1: Check ratios for Data Set 1

Data Set One: 5, 30; Data Set Two: 3, 18. Ratios: $\frac{3}{5}=0.6$, $\frac{18}{30}=0.6$. Equal ratios.

Step2: Check ratios for Data Set 2

Data Set One: 25, 45; Data Set Two: 35, 50. Ratios: $\frac{35}{25}=1.4$, $\frac{50}{45}\approx1.11$. Not equal.

Step3: Check ratios for Data Set 3

Data Set One: 18, 28; Data Set Two: 45, 70. Ratios: $\frac{45}{18}=2.5$, $\frac{70}{28}=2.5$. Equal ratios.

Step4: Check ratios for Data Set 4

Data Set One: 279, 434; Data Set Two: 45, 70. Cross products: $279\times70=19530$, $434\times45=19530$. Equal, so ratios equal.

Answer:

1. Proportional
2. Not proportional
3. Proportional
4. Proportional