Proportional Word Problems

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you set up a proportion to solve a word problem?

Back

To set up a proportion, identify the two ratios involved in the problem and set them equal to each other.

Front

What is the formula to find the percentage of correct answers?

Back

Percentage = (Number of Correct Answers / Total Questions) x 100.

Front

How do you find an unknown quantity in a proportional relationship?

Back

Cross-multiply the known values and solve for the unknown quantity.

Front

What is the relationship between the height of an object and the length of its shadow in similar triangles?

Back

The height of the object and the length of its shadow are proportional to the height and shadow length of another object.

Front

If a recipe calls for a certain ratio of ingredients, how do you adjust the recipe if you change one ingredient?

Back

To adjust the recipe, maintain the same ratio by multiplying or dividing the other ingredients by the same factor.

Front

What is the concept of direct variation?

Back

Direct variation is a relationship between two variables where one variable is a constant multiple of the other.

Front

How do you convert a fraction to a percentage?

Back

To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100.

Front

What is the significance of the term 'scale factor' in proportional relationships?

Back

The scale factor is the ratio of any two corresponding lengths in similar geometric figures.

Front

How can you determine if two ratios are equivalent?

Back

Two ratios are equivalent if their cross products are equal.