Assignment 7.4A Constant Rate of Change

Front

What is a constant rate of change?

Back

A constant rate of change refers to a situation where a quantity increases or decreases by the same amount over equal intervals of time.

Front

How do you calculate the unit rate?

Back

To calculate the unit rate, divide the total quantity by the total time or number of units. For example, if 120 customers visit a store in 8 hours, the unit rate is 120 ÷ 8 = 15 customers per hour.

Front

What does the slope of a graph represent in a constant rate of change?

Back

The slope of a graph represents the rate of change. In a linear graph, it indicates how much the dependent variable changes for a unit change in the independent variable.

Front

If $100 is earned for each hour worked, what is the equation representing this situation?

Back

The equation is y = 100x, where y is the total earnings and x is the number of hours worked.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0. It represents the starting point of the situation being modeled.

Front

Which graph best represents a situation with a constant rate of change?

Back

A linear graph represents a situation with a constant rate of change, showing a straight line.

Front

What does it mean if a graph is not linear?

Back

If a graph is not linear, it indicates that the rate of change is not constant; the relationship between the variables is changing.

Front

How can you determine if a situation has a constant rate of change from a table of values?

Back

If the differences between consecutive values of the dependent variable are the same for equal intervals of the independent variable, the situation has a constant rate of change.

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

Front

If a store sees 120 customers in 8 hours, what is the unit rate?

Back

15 customers per hour.