Ratio and Rates
A ratio is a comparison of two _____.
What are quantities?
A proportional relationship can be represented by the equation y = ___ x.
What is k? (where k is the constant of proportionality)
A proportion is an equation that states two ___ are equal.
What are ratios?
A recipe calls for 2 cups of flour per 3 cups of sugar. What is the ratio of flour to sugar?
What is 2:3?
Two figures are similar if they have the same ____ but different ____
What are shape; size?
A rate compares two different _____.
A rate compares two different _____.
If a table shows a proportional relationship, the ratio y/x should always be ____.
What is constant?
Solve for x: 4/5 = x/10.
What is x = 8?
A train travels 180 miles in 4 hours. What is the speed in miles per hour?
What is 45 mph?
Corresponding angles in similar figures are always ____.
What is congruent (equal)?
What is the unit rate if a car travels 180 miles in 3 hours?
What is 60 miles per hour?
A graph of a proportional relationship always passes through this point.
What is (0,0)?
If 3 pencils cost $1.50, how much do 8 pencils cost?
What is $4.00?
If y = 2x, is this a proportional relationship?
What is Yes?
If a rectangle is enlarged by a scale factor of 3, how will its side lengths change?
What is they will triple?
True or False: The ratio 3:4 can be written as 3/4 or 3 to 4
What is True?
In the equation y = 5x, what is the constant of proportionality?
What is 5?
Solve for x: 7/x = 14/20.
What is x = 10?
A student earns $15 for every hour worked. Write the equation.
What is y = 15x?
A triangle has sides 6 cm, 9 cm, and 12 cm. If a similar triangle has a side of 3 cm, what is the scale factor?
What is 1/2?
A store sells 5 notebooks for $10. What is the price per notebook?
What is $2 per notebook?
A worker earns $12 per hour. Write the equation for this proportional relationship.
What is y = 12x?
If two fractions are equal, we can use this method to solve for a missing number.
What is cross-multiplication?
A model car has a scale of 1:12. If the model is 4 inches long, how long is the real car?
What is 48 inches (or 4 feet)?
A map uses a scale of 1 inch = 5 miles. How many miles does 4 inches represent?
What is 20 miles?