12.4.24 Proportions Activator

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms. For example, if a/b = c/d, then ad = bc.

Front

If a 6-foot person casts a 2-foot shadow, what is the relationship between height and shadow length?

Back

This is an example of similar triangles, where the ratio of height to shadow length remains constant.

Front

How do you find the height of an object using proportions?

Back

Set up a proportion using the known height and shadow length, then solve for the unknown height.

Front

What is the formula to find the cost per pound?

Back

Cost per pound = Total cost / Total weight.

Front

If 3 pounds of hamburger costs $6, how much does 10 pounds cost?

Back

Using proportions: (3 pounds / $6) = (10 pounds / x), solve for x to find that 10 pounds costs $20.

Front

What does it mean to solve for x in an equation?

Back

To solve for x means to find the value of x that makes the equation true.

Front

Back

Cross-multiply to get 96 * 7 = 16 * m, then solve for m to find m = 42.

Front

What is the cross-multiplication method?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one ratio by the denominator of the other.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing how many times one value contains or is contained within the other.