writing function rules

Front

What is a function rule?

Back

A function rule is a mathematical expression that describes the relationship between input (independent variable) and output (dependent variable) in a function.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How do you write a function rule for a linear relationship?

Back

A linear function rule can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does the slope in a function rule represent?

Back

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

Tags

CCSS.8.EE.B.5

Front

What does the y-intercept in a function rule represent?

Back

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

Tags

CCSS.HSF.LE.B.5

Front

Write the function rule for a plumber charging a service fee of $40 plus $25 per hour for labor.

Back

y = 40 + 25x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

If a plumber works for 4 hours, how much will the total cost be?

Back

$140

Tags

CCSS.8.EE.B.5

Front

What function rule represents the number of milk cartons left after selling 60 cartons per day from an initial stock of 285?

Back

y = 285 - 60x

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Write the function rule for the table where the output is 5 times the input plus 1.

Back

y = 5x + 1

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Find the function rule for a line with a slope of -2 and a y-intercept of 10.

Back

y = -2x + 10

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is the rate of rainfall if it falls at 2 cm per hour?

Back

2 cm per hour

Tags

CCSS.HSF-LE.A.1B