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 a graph representing a constant rate of change look like?

Back

A graph representing a constant rate of change is a straight line, indicating that the change occurs at a consistent rate.

Front

If $500 is earned for every 8 hours worked, what is the hourly wage?

Back

The hourly wage is $500 ÷ 8 = $62.50 per hour.

Front

What is the formula for finding the constant rate of change?

Back

The formula for constant rate of change is (change in quantity) ÷ (change in time).

Front

If JoAnne deposits $50 per month, how much will she have after 6 months?

Back

After 6 months, JoAnne will have $50 × 6 = $300.

Front

What is the significance of the slope in a graph of constant rate of change?

Back

The slope of the graph represents the rate of change; a steeper slope indicates a higher rate of change.

Front

How can you determine if a graph does NOT reflect a constant rate of change?

Back

A graph does NOT reflect a constant rate of change if it is not a straight line or if the intervals between points are not equal.

Front

What is the unit rate of 120 customers in 8 hours?

Back

The unit rate is 15 customers per hour.

Front

If a store earns $200 for every 3 hours worked, what is the hourly rate?

Back

The hourly rate is $200 ÷ 3 = approximately $66.67 per hour.