Hmk 51GG - Interpreting Slope and Y-Intercept

Front

What does the slope of a graph represent?

Back

The slope represents the rate of change between two variables on the graph.

Front

In the equation c = 0.20t + 3.50, what does the slope (0.20) indicate?

Back

It costs $0.20 per minute to rent the kayak.

Front

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

Back

The y-intercept is the value of y when x is zero, representing the starting point of the relationship.

Front

If the slope of a graph is $1 for every 2 miles driven, what does this mean?

Back

For every 2 miles driven, the cost increases by $1.

Front

What does the y-intercept represent in the context of a burning candle's height?

Back

The original height of the candle before it starts burning.

Front

How do you interpret a slope of 2 cm of rainfall per hour?

Back

For every hour, the rainfall increases by 2 cm.

Front

What does a negative slope indicate in a graph?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

Front

In the context of a rental fee, what does a slope of $0.20 mean?

Back

It means that for each additional minute of rental, the cost increases by $0.20.

Front

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

Back

It represents the fixed cost or starting cost before any variable costs are added.

Front

If a graph shows a slope of 1 mile driven for $2, what does this imply?

Back

For every mile driven, the cost is $2.