Writing Function Rules

Front

What is a function?

Back

A function is a relation where each input has exactly one output.

Front

Write the function rule for a water tank that starts with 84 gallons and loses 3 gallons per hour.

Back

y = 84 - 3x

Front

Rewrite the equation y = 50 - 2x in slope-intercept form.

Back

y = -2x + 50

Front

If a plumber charges a service fee of $40 plus $25 per hour, what is the function rule for the total cost?

Back

y = 40 + 25x

Front

How much would it cost to hire the plumber for 4 hours?

Back

$140

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0.

Front

If a hiker is at 1,127 ft and climbs up 92 feet per hour, what is the function rule for their height?

Back

y = 1127 + 92x

Front

What is the definition of slope in a linear equation?

Back

Slope is the ratio of the change in y to the change in x.

Front

What does it mean for a function to be linear?

Back

A linear function graphs as a straight line and has a constant rate of change.