Unit rate as slope

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 (e.g., miles per hour, price per item).

Front

How do you find the unit price of an item?

Back

To find the unit price, divide the total price by the number of units. For example, if a pack of 10 slices costs $2.48, the unit price is $2.48 ÷ 10 = $0.248 per slice.

Front

What does the slope of a line represent in a graph?

Back

The slope of a line represents the rate of change between the two variables plotted on the graph. It indicates how much one variable changes in relation to another.

Front

If a graph shows a slope of 40, what does this mean in terms of rate of change?

Back

A slope of 40 means that for every unit increase in the x-axis, the y-axis increases by 40 units.

Front

How can you determine which of two products is a better deal based on unit price?

Back

Compare the unit prices of both products. The product with the lower unit price is the better deal.

Front

What is the formula for calculating slope?

Back

The formula for calculating slope (m) is m = (change in y) / (change in x).

Front

If Ben plays basketball 6 times in 3 weeks, how many times does he play in 10 weeks?

Back

To find the rate, divide 6 by 3 to get 2 times per week. In 10 weeks, he plays 2 times/week * 10 weeks = 20 times.

Front

How do you calculate the price per gallon of gas?

Back

To calculate the price per gallon, divide the total cost by the number of gallons. For example, $46.80 ÷ 13 gallons = $3.60 per gallon.

Front

What is the relationship between unit rate and slope in a graph?

Back

The unit rate can be represented as the slope of a line in a graph, showing the rate of change between two quantities.

Front

What does a slope of 19.25 mean in a real-world context?

Back

A slope of 19.25 means that for every unit increase in the independent variable, the dependent variable increases by 19.25 units.