Proportional Relationships Ratios

Is the relationship proportional?

• Yes

• No

Is the relationship between the price of the adult tickets (dependent) proportional to the price of a child ticket (independent)?

• Yes

• No

Is the relationship Proportional?

• Yes, 100 pages per day

• Yes, 110 pages per day

• Yes, 105 pages per day

• no, not all the unit rates are equal.

Does the table represent a proportional relationship?

• Yes.

• No.

The number of cups of strawberries in a shortcake recipe is proportional to the number of cups of sugar in the recipe. The recipe uses 5 cups of strawberries per 1/4 cup of sugar. What is the constant of proportionality for the relationship of cups of strawberries to cups of sugar? Hint: Solve the problem by dividing the cups of strawberries, by the cups of sugar. You will do what with a fraction when dividing?

• 1/20

• 4/5

• 20

• 5/4

Answer explanation

The 1/4 will get flipped, multiply across, which is 5 x 4 = 20.

Giancarlobuys granola. The graph shows the relationship between the weight and the cost of the granola. Which of the following are true statements about the graph? Choose all the correct answers.

• The point (8,24) means that 8 pounds of granola costs $24.

• The point (1,3) means that the rate is $3 per pound of granola.

• The point (4,12) means that it costs $4 for 12 pounds of granola.

• Since the line passes through (1,3), 3 is the constant of proportionality.

• The graph is not a proportional relationship.

For every 1/4 mile Pascal walks, Lucien runs 2/3 miles. How many miles does Pascal walk for every 1 mile Lucien runs? Hint: When provided two sets of fractions and determining which one is doing more, you will need to take the 1/4 ÷ 2/3. Think about what needs to be done to division and fractions.

• 3/8

• 1/2

• 4/9

• 19/31

Answer explanation

You will flip the second fraction, multiply across and will get an answer of 3/8.

Decide if the statement is True or False.

The ratio 7/9 : 2/3 has a unit rate of 14/27.

Hint: You are taking the ratio and dividing it, when you divide fractions what are you doing with the fraction?

• True

• False

Answer explanation

7/9 ÷ 2/3 would mean that we keep the first, change the sign to multiplication, and flip the last fraction. Multiply across and you would end up with 21/18. This would make the statement false.

Maggie makes a scale drawing of a deck. The scale from the actual deck to the scale drawing is 7ft to 1in. The dimensions of the deck are 28ft by 17.5ft. What are the dimensions of the deck in the drawing?

• The dimensions on paper will be 196in by 122.5in.

• The dimensions on paper will be 196ft by 122.5 ft.

• The dimensions on paper will be 4in by 2.5in.

• The dimensions on paper will be 4ft by 2.5ft.

Answer explanation

You will have to take 28 ÷ 7 = 4in

Then take the 17.5 ÷ 7 = 2.5in.

Sia makes lemon water. She uses 1/2 tablespoon of lemon juice for every 8 ounces of water. Which equation shows the relationship between ounces of water, w, and tablespoons of lemon juice, j?

Hint: The equation is asking for water as the solution, meaning it should be what your answer is equal to. The other thing, is you need to find the constant of proportionality which would be to take the numbers and divide.

• j = 16w

• w = 4j

• w = 16j

• j = 4w

Answer explanation

You would have taken the 8 ÷ 1/2 which would mean flipping the second fraction and multiply across. 8 x 2 = 16