ALG - U3- LT9 Practice - Interpreting Slope and Y- Intercept

Front

What does the slope of a linear equation represent?

Back

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

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 y-intercept in a linear equation?

Back

The y-intercept is the value of the dependent variable when the independent variable is zero.

Front

In the context of a salary equation, what does the y-intercept represent?

Back

The y-intercept represents the base salary before any commissions or additional earnings.

Front

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

Back

Average rate of change = (Change in y) / (Change in x).

Front

If a climber's altitude changes from 400 feet to 700 feet over 4 hours, what is the average rate of change?

Back

The average rate of change is 75 feet per hour.

Front

What does a slope of 6 feet per minute indicate about a sloth's speed?

Back

The sloth runs 6 feet in 1 minute.

Front

What does the y-intercept of $6.85 mean in a meal cost equation?

Back

It means Mrs. Franklin's meal will cost $6.85 if she brings no grandchildren.

Front

What is the significance of the slope in a cost equation?

Back

The slope indicates how much the total cost increases for each additional unit of the independent variable.

Front

In a linear relationship, what does a negative slope indicate?

Back

A negative slope indicates that as the independent variable increases, the dependent variable decreases.