Finding Unit Rate

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something, such as miles per hour or cost per item.

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 the total cost is $68 for 4 pizzas, the unit rate is $68 ÷ 4 = $17 per pizza.

Front

What is the formula to find the total number of items based on unit rate and quantity?

Back

The formula is Total = Unit Rate × Quantity. For example, if the unit rate is 3 goals per game and he plays 5 games, then Total Goals = 3 × 5 = 15.

Front

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

Back

You can express a relationship between two variables using an equation in the form of y = mx, where m is the unit rate.

Front

If a person reads 110 books in 11 months, how do you find the number of books read per month?

Back

To find the number of books read per month, divide the total number of books by the number of months: 110 books ÷ 11 months = 10 books per month.

Front

What does the equation y = 3x represent in the context of scoring goals?

Back

In the context of scoring goals, y = 3x means that for every game played (x), Eduardo scores 3 goals (y).

Front

How do you convert a total distance into a speed in terms of unit rate?

Back

To convert total distance into speed, divide the distance by the time taken. For example, if a person runs 12 miles in 2 hours, the speed is 12 miles ÷ 2 hours = 6 miles per hour.

Front

What is the significance of the coefficient in a linear equation like y = 6x?

Back

The coefficient (6 in this case) represents the unit rate, indicating how many units of y correspond to one unit of x.

Front

How can you determine the price per item when given total cost and quantity?

Back

To determine the price per item, divide the total cost by the number of items. For example, if the total cost is $36 for 4 basketballs, the price per basketball is $36 ÷ 4 = $9.

Front

What is the relationship between unit rates and proportional relationships?

Back

Unit rates are a specific type of proportional relationship where one quantity is compared to one unit of another quantity.