Proportional Relationships

How do you test ratios in a table to see if they're proportional?

• y times 5

• y $\div$ x

• x $\div$ 1

• x $+$ y

Which ratios form a proportional relationship?

• $\frac{2}{3}\ and\ \frac{6}{7}$

• $\frac{5}{10}\ and\ \frac{3}{9}$

• $\frac{4}{7}\ and\ \frac{12}{22}$

• $\frac{4}{7}\ and\ \frac{12}{21}$

Does this table represent a proportional relationship?

• Yes, it's proportional

• No, it's not proportional

• Sometimes it's proportional

Does this table show a proportional relationship?

• Yes, it's proportional

• No, it's not proportional

• Sometimes it's proportional

What kind of relationship does this table show?

• Additive, it's proportional

• Additive, it's not proportional

• Multiplicative, it's proportional

• Divisitive, it's proportional

Proportional relationships are...

• Additive--x plus something gives you y

• Multiplicative--x times something gives you y

Proportional relationships...

• are equivalent ratios

• are proper fractions

• are additive

• are not multiplicative

Mr. Carter is baking bread. The recipe calls for 2 cups of flour for every cup of water. If he doubles the recipe, will the new amount of flour and water be proportional to the original recipe?

• Yes, it's proportional

• No, it's not proportional

If Mrs. Carter walks her dog Esteban 1 mile in 12 minutes and 2 miles in 20 minutes, are Mrs. Carter and Esteban walking at a proportional rate?

• Yes, it's proportional

• No, it's not proportional

Ms. Taylor plays video games. If she unlocks 3 achievements in the first week and 6 achievements in the second week, is she unlocking achievements at a proportional rate?

• Yes, it's proportional

• No, it's not proportional