Question

analyze each table shown. determine whether the relationship is proportional. if the relationship is proportional, state the constant ratio for the relationship.
7th-grade class
plays sports
total
room a
25
75
room b
30
120
8th-grade class
cell phones
total
room a
190
210
room b
152
168

Explanation:

Step1: Calculate ratios for part a

For Room A: $\frac{25}{75}=\frac{1}{3}$. For Room B: $\frac{30}{120}=\frac{1}{4}$. Since $\frac{1}{3}
eq\frac{1}{4}$, not proportional.

Step2: Calculate ratios for part b

For Room A: $\frac{190}{210}=\frac{19}{21}$. For Room B: $\frac{152}{168}=\frac{19}{21}$. Since ratios are equal, proportional with constant ratio $\frac{19}{21}$.

Answer:

a) Not proportional.
b) Proportional, constant ratio is $\frac{19}{21}$.