constant rate of change

Front

What is a constant rate of change?

Back

A constant rate of change means that a quantity changes by the same amount in equal intervals of time. It is often represented by a linear function.

Front

If a car travels 60 miles in 1 hour, what is its constant speed?

Back

60 miles per hour.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the total quantity by the number of units. For example, if 120 customers visit a store in 6 hours, the unit rate is 120 ÷ 6 = 20 customers per hour.

Front

What is the formula for finding the slope of a line?

Back

The slope (m) is calculated as m = (change in y) / (change in x).

Front

What does the slope of a line represent in a real-world context?

Back

The slope represents the rate of change between two variables. For example, in a distance-time graph, the slope indicates speed.

Front

Write the equation for a line with a slope of 2 that passes through the origin.

Back

y = 2x.

Front

If a store sells 30 items in 5 hours, what is the unit rate of items sold per hour?

Back

6 items per hour.

Front

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

Back

The relationship is given by the formula: Distance = Rate × Time.

Front

If a cyclist travels at a constant speed of 15 miles per hour, how far will they travel in 4 hours?

Back

60 miles.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.