Proportions

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 problem?

Back

To set up a proportion, you can use the formula a/b = c/d, where a and b are the first ratio, and c and d are the second ratio.

Front

What is the cross-multiplication method in solving proportions?

Back

The cross-multiplication method involves multiplying the numerator of one ratio by the denominator of the other ratio and setting the two products equal to each other.

Front

If 3 pounds of hamburger costs $6, what is the cost per pound?

Back

The cost per pound is $2.

Front

How do you find the total cost when given a unit price and quantity?

Back

Multiply the unit price by the quantity to find the total cost.

Front

What is the relationship between the size of a shadow and the height of an object?

Back

The size of a shadow is proportional to the height of the object casting it, assuming the light source is at a constant distance.

Front

How can you use proportions to find an unknown height using shadows?

Back

Set up a proportion using the heights and shadow lengths of the known object and the unknown object.

Front

What is the formula for direct variation?

Back

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

Front

How do you solve for a variable in a proportion?

Back

Cross-multiply and then isolate the variable to solve for it.

Front

What is the significance of equivalent ratios in proportions?

Back

Equivalent ratios indicate that two ratios represent the same relationship and can be used interchangeably in calculations.