Rates and Unit Rates

Front

What is the formula to calculate distance when given rate and time?

Back

The formula to calculate distance is d = rt, where d is distance, r is rate, and t is time.

Front

How do you calculate the unit rate from a total cost and quantity?

Back

To calculate the unit rate, divide the total cost by the quantity. For example, if you spend $40 on 5 pounds of concrete, the unit rate is $40 ÷ 5 = $8 per pound.

Front

If a car travels 350 miles in 14 hours, how do you find the rate in hours per mile?

Back

To find the rate in hours per mile, divide the total hours by the total miles. In this case, 14 hours ÷ 350 miles = 0.04 hours per mile.

Front

What is the slowest reading rate if given multiple options?

Back

To determine the slowest reading rate, compare the rates by calculating pages per minute for each option. For example, 3 pages in 9 minutes is 0.33 pages per minute.

Front

How do you calculate the number of customers a cashier can serve in a given time based on a rate?

Back

To calculate the number of customers served, use the rate of customers per minute and multiply it by the total time in minutes. For example, if a cashier serves 2 customers in 8 minutes, the rate is 0.25 customers per minute.

Front

What is a unit rate and why is it useful?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is useful for understanding the cost per item, speed, or efficiency.

Front

How can you convert a speed given in miles per hour to a distance traveled in a specific time?

Back

To convert speed to distance, multiply the speed (in miles per hour) by the time (in hours). For example, if the speed is 6 miles per hour and the time is 0.33 hours (20 minutes), the distance is 6 * 0.33 = 2 miles.

Front

What is the significance of understanding rates in real-life applications?

Back

Understanding rates helps in making informed decisions in various situations, such as budgeting, travel planning, and comparing prices.

Front

How do you express a rate as a fraction?

Back

A rate can be expressed as a fraction by placing the two quantities being compared in the numerator and denominator. For example, if you run 6 miles in 1 hour, the rate can be expressed as 6 miles/1 hour.

Front

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

Back

The relationship is defined by the formula d = rt, which shows that distance is the product of rate and time.