Rate and Unit Cost Problems

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, often expressed as a quantity per unit of time, distance, or cost.

Front

How do you calculate unit cost?

Back

Unit cost is calculated by dividing the total cost by the number of units purchased. Formula: Unit Cost = Total Cost / Number of Units.

Front

If a car travels 300 miles in 5 hours, what is the rate of travel in miles per hour?

Back

60 miles per hour.

Front

What is the formula to find the total distance traveled if you know the rate and time?

Back

Total Distance = Rate x Time.

Front

If a person runs 4 laps in 2 minutes, how many laps do they run per minute?

Back

2 laps per minute.

Front

What is the relationship between distance, rate, and time?

Back

Distance = Rate x Time.

Front

If a bike costs $120 and you buy 3 bikes, what is the price per bike?

Back

$40 per bike.

Front

How do you express a relationship between two variables in an equation?

Back

You can express it as y = mx, where m is the rate.

Front

If a runner completes 10 kilometers in 50 minutes, what is their speed in kilometers per minute?

Back

0.2 kilometers per minute.

Front

What does it mean if a unit cost is lower than another?

Back

It means that the item with the lower unit cost is cheaper per unit, making it a better value.