Linear Function Word Problems

Front

What is a function?

Back

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

Front

If a linear function has a constant rate of change, what does that mean?

Back

It means that for every unit increase in the input, the output increases or decreases by a fixed amount.

Front

How do you determine the slope of a linear function?

Back

The slope is determined by the change in the y-values divided by the change in the x-values between two points on the line.

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

In the equation y = 40 - 2x, what does the 40 represent?

Back

The 40 represents the initial amount before any changes occur.

Front

In the equation y = 40 - 2x, what does the -2 represent?

Back

The -2 represents the rate at which the amount decreases for each day.

Front

How can you represent a real-world situation with a linear equation?

Back

Identify the quantities involved, determine the relationship between them, and express it in the form y = mx + b.

Front

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

Back

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

Front

If a tank releases water at a rate of 25 gallons per minute, how would you express this as a linear equation?

Back

y = 120 - 25x, where y is the amount of water left and x is the time in minutes.

Front

How do you find the number of rows of bricks if each row has a constant number of bricks?

Back

Divide the total number of bricks by the number of bricks per row.