Understanding Slopes in Real-World Contexts

Front

What does the slope of the equation y = 0.5x + 10 represent in the context of renting a moving truck?

Back

The per-mile fee for the moving truck.

Front

In the context of gasoline consumption, what does the slope of the graph represent?

Back

The amount of gasoline consumed per km driven.

Front

What does the slope of the equation c = 0.20t + 3.50 indicate about renting a kayak?

Back

It costs $0.20 per minute to rent the kayak.

Front

What does the y-intercept represent in the context of a car descending a mountain?

Back

The height at which the driver started was 1500 ft.

Front

What does the slope represent in the context of a sloth's movement?

Back

The sloth runs 6 feet in 1 minute.

Front

Define slope in mathematical terms.

Back

Slope is the ratio of the vertical change to the horizontal change between two points on a line.

Front

What is the formula for calculating slope?

Back

Slope (m) = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a positive slope indicate about a graph?

Back

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

Front

What does a negative slope indicate about a graph?

Back

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

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, representing the starting point of the graph.