M9 - Weekly HW #10

Front

What is the average rate of change?

Back

The average rate of change is a measure of how a quantity changes over a specific interval. It is calculated by taking the difference in the values of the function at two points and dividing it by the difference in the input values.

Front

How do you calculate the average rate of change between two points?

Back

To calculate the average rate of change between two points (x1, y1) and (x2, y2), use the formula: (y2 - y1) / (x2 - x1).

Front

What does a positive average rate of change indicate?

Back

A positive average rate of change indicates that the quantity is increasing over the interval.

Front

What does a negative average rate of change indicate?

Back

A negative average rate of change indicates that the quantity is decreasing over the interval.

Front

In the context of a car rental, what does the constant fee per kilometer represent?

Back

The constant fee per kilometer represents the variable cost associated with the distance driven, which adds to the initial rental fee.

Front

If a car rental company charges $0.60 per km, how much would it cost to drive 100 km?

Back

It would cost $60 to drive 100 km, calculated as 100 km * $0.60/km.

Front

What is the significance of the initial fee in a rental agreement?

Back

The initial fee is a fixed cost that must be paid regardless of the distance driven, representing the base charge for renting the vehicle.

Front

How can you interpret the slope of a graph in terms of average rate of change?

Back

The slope of a graph represents the average rate of change of the dependent variable with respect to the independent variable.

Front

What is the average rate of change of a function if the values at two points are the same?

Back

If the values at two points are the same, the average rate of change is zero, indicating no change in the quantity over that interval.

Front

How do you find the average rate of change from a table of values?

Back

To find the average rate of change from a table, identify the values at the two points of interest, then apply the formula: (value at second point - value at first point) / (second point - first point).