7th Rate, Ratio, Proportion Mid

Front

What is a rate?

Back

A rate is a ratio that compares two different kinds of quantities, often expressed as a fraction. For example, speed is a rate that compares distance to time.

Front

Define ratio.

Back

A ratio is a comparison of two quantities by division. It shows how many times one value contains or is contained within the other.

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

If 2 supervisors are needed for every 18 babies, how many supervisors are needed for 36 babies?

Back

4 supervisors (since 36 babies require double the number of supervisors compared to 18 babies).

Front

Write the equation that represents the relationship between supervisors (x) and babies (y) when there are 2 supervisors for every 18 babies.

Back

y = 9x.

Front

What is the unit rate of 5 kilometers per hour?

Back

5 kilometers per hour means that for every hour, 5 kilometers are traveled.

Front

How do you convert a ratio to a fraction?

Back

To convert a ratio to a fraction, write the first quantity as the numerator and the second quantity as the denominator.

Front

If a recipe requires 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

Front

What is the cross-multiplication method used for?

Back

Cross-multiplication is used to determine if two ratios are in proportion by multiplying the numerator of one ratio by the denominator of the other.

Front

If a car travels 150 miles in 3 hours, what is its speed in miles per hour?

Back

The speed is 50 miles per hour (150 miles ÷ 3 hours).