Solving Problems involving Proportional Thinking Honors

Front

What is proportional thinking?

Back

Proportional thinking is the ability to recognize and use ratios and proportions to solve problems involving relationships between quantities.

Front

How do you find a missing value in a proportion?

Back

To find a missing value in a proportion, you can set up a ratio and cross-multiply to solve for the unknown.

Front

If a car washes 38 cars in 2 hours, how many cars can it wash in 1 hour?

Back

19 cars.

Front

What is the formula for direct variation?

Back

The formula for direct variation is y = kx, where k is the constant of variation.

Front

If a car travels 280 miles in 7 hours, what is its speed in miles per hour?

Back

40 miles per hour.

Front

How do you set up a ratio table?

Back

A ratio table is set up by listing pairs of equivalent ratios in two columns, allowing you to see the relationship between the quantities.

Front

If there are 5 ice cream cones for every 3 brownies, what is the ratio of ice cream cones to brownies?

Back

The ratio of ice cream cones to brownies is 5:3.

Front

How do you solve a problem involving scaling up a recipe?

Back

To scale up a recipe, multiply each ingredient by the same factor to maintain the proportions.

Front

What is the relationship between distance, rate, and time?

Back

The relationship is given by the formula: Distance = Rate × Time.

Front

If the waiting time for 15 people is 2 minutes, how do you find the waiting time for 120 people?

Back

Set up a proportion: 2 minutes/15 people = x minutes/120 people, then solve for x.