Linear Functions Word Problems

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation 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 linear function represent?

Back

The slope represents the rate of change of the function, indicating how much y changes for a unit change in x.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept in a linear function?

Back

The y-intercept is the value of y when x is 0, representing the starting point of the function on the y-axis.

Front

How do you write the equation of a linear function from a word problem?

Back

Identify the fixed costs and variable costs, then use the format y = fixed cost + (variable cost per unit * x).

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

If a function has a constant rate of change, what type of function is it?

Back

It is a linear function.

Tags

CCSS.HSF-LE.A.1B

Front

What is the equation for a function that starts at $150 and increases by $40 each month?

Back

y = 40x + 150.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How do you determine if a relationship is a function?

Back

A relationship is a function if every input (x-value) has exactly one output (y-value).

Tags

CCSS.8.F.A.1

Front

What is the total cost equation for renting a car for x hours at $8.50 per hour plus a $25.50 fee?

Back

y = 25.5 + 8.5x.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What does it mean for a graph to be linear?

Back

A linear graph is a straight line, indicating a constant rate of change between the variables.

Front

What is the equation for the cost of a holiday meal for x people at $12.50 per person plus a $30 delivery fee?

Back

y = 30 + 12.5x.

Tags

CCSS.6.EE.C.9