Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Front

How do you calculate the average rate of change?

Back

The average rate of change 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 (x-values).

Front

If Judy can decorate 3 cakes in 5 hours, what is her rate of decorating cakes per hour?

Back

Judy's rate is 3 cakes / 5 hours = 0.6 cakes per hour.

Front

What does a graph with a positive slope indicate?

Back

A graph with a positive slope indicates that as the x-value increases, the y-value also increases.

Front

If the cost of 15 school lunches is $33.75, how much does each lunch cost?

Back

Each lunch costs $33.75 / 15 = $2.25.

Front

What is the rate of change in the height of water if it increases 2.5 inches per second?

Back

The rate of change is 2.5 inches per second.

Front

If Gwen spent $12.50 for 5 bracelets, how much did each bracelet cost?

Back

Each bracelet costs $12.50 / 5 = $2.50.

Front

What does a graph with a negative slope indicate?

Back

A graph with a negative slope indicates that as the x-value increases, the y-value decreases.

Front

How do you interpret the slope of a line in a real-world context?

Back

The slope represents the rate of change between two quantities, showing how one quantity changes in relation to another.

Front

If a tree grows 18 inches in 2 years, what is its growth rate per year?

Back

The growth rate is 18 inches / 2 years = 9 inches per year.