Week 16 - Warm 72 - 12/18

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.

Front

If the ratio of tenants to cars is 3:5 and there are 30 tenants, how do you find the number of cars?

Back

Use the ratio to set up a proportion: 3/5 = 30/x. Cross-multiply to find x, which is 50.

Front

What does it mean for two ratios to form a proportion?

Back

Two ratios form a proportion if they are equal to each other.

Front

How do you set up a proportion based on a word problem?

Back

Identify the quantities involved and set them up as a fraction equal to another fraction representing the same relationship.

Front

What is the cost per pound of an item?

Back

Cost per pound is calculated by dividing the total cost by the weight in pounds.

Front

How do you determine which item has the lowest cost per pound?

Back

Calculate the cost per pound for each item and compare the values.

Front

What is the formula for finding the value of a variable in a proportion?

Back

If a/b = c/d, then ad = bc. You can solve for the unknown variable using cross-multiplication.

Front

What is the significance of the term 'proportion' in mathematics?

Back

A proportion indicates that two ratios are equivalent, which can be used to solve for unknown values.

Front

How can you express a ratio in simplest form?

Back

Divide both terms of the ratio by their greatest common divisor (GCD).

Front

What is the relationship between fractions and ratios?

Back

Fractions can be considered as ratios, where the numerator is compared to the denominator.