8.AF.6

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope in a linear equation represent?

Back

The slope represents the rate of change of y with respect to x.

Front

What does the y-intercept in a linear equation represent?

Back

The y-intercept is the value of y when x is 0, indicating where the line crosses the y-axis.

Front

How do you write an equation for a situation with a fixed cost and a variable cost?

Back

The equation is written as y = mx + b, where m is the variable cost per unit and b is the fixed cost.

Front

If a canoe rental service charges $20 transportation fee and $30 per hour, what is the equation for the total cost?

Back

y = 30x + 20, where y is the total cost and x is the number of hours.

Front

What is the equation for a fitness club that starts with 80 members and increases by 15 members each month?

Back

y = 15x + 80, where y is the total membership and x is the number of months.

Front

How do you determine the total cost of renting a bike that has a fixed fee and a per-hour charge?

Back

Add the fixed fee to the product of the per-hour charge and the number of hours: y = 1.50x + 4.

Front

What is the meaning of the term 'fixed cost' in a rental situation?

Back

A fixed cost is a one-time charge that does not change regardless of usage.

Front

What is the meaning of the term 'variable cost' in a rental situation?

Back

A variable cost is a charge that depends on the amount of usage or time.

Front

How can you identify the correct equation from a table of values?

Back

Look for a consistent rate of change in y as x increases, which indicates the slope.