Unit 3 WU Rate Word Problem

Front

What is a rate in mathematics?

Back

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

Front

How do you solve a rate word problem?

Back

To solve a rate word problem, identify the quantities involved, set up a ratio, and use the formula: Rate = Distance/Time or Rate = Work/Time.

Front

What is the formula for calculating speed?

Back

Speed = Distance / Time.

Front

If a car travels 120 miles in 2 hours, what is its speed?

Back

Speed = 120 miles / 2 hours = 60 miles per hour.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you find the unit rate from a rate?

Back

To find the unit rate, divide the first quantity by the second quantity to get the value for one unit of the second quantity.

Front

What is the difference between speed and velocity?

Back

Speed is a scalar quantity that refers to how fast an object is moving, while velocity is a vector quantity that includes both speed and direction.

Front

If a cyclist rides at a speed of 15 miles per hour for 3 hours, how far does he travel?

Back

Distance = Speed x Time = 15 miles/hour x 3 hours = 45 miles.

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 can you use proportions to solve rate problems?

Back

You can set up a proportion based on the rates given in the problem and cross-multiply to find the unknown quantity.