Linear Function Applications

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope (m) represent in a linear function?

Back

The slope (m) represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a one-unit increase in x.

Front

What does the y-intercept (b) represent in a linear function?

Back

The y-intercept (b) is the value of y when x is 0. It represents the starting point of the function on the y-axis.

Front

Write the equation for the total cost y of hitting x buckets of golf balls if the cost is $4 plus $2.75 per bucket.

Back

y = 2.75x + 4

Front

Write the equation for the cost y of ordering x pizzas if each pizza costs $12 and there is a $4 delivery fee.

Back

y = 12x + 4

Front

In the equation y = mx + b, what does 'x' represent?

Back

In the equation y = mx + b, 'x' represents the independent variable.

Front

In the equation y = mx + b, what does 'y' represent?

Back

In the equation y = mx + b, 'y' represents the dependent variable.

Front

Which variable is independent in the context of Sarah bringing treats based on the number of students?

Back

The independent variable is 's', the number of students.

Front

On a graph, which axis typically represents the dependent variable?

Back

The y-axis represents the dependent variable.

Front

What does the y-intercept tell you in a graph showing gas usage versus miles traveled?

Back

The y-intercept tells you how much gas the tractor started with.