Bread - Comparing Linear Functions

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 'rate of change' mean in a linear function?

Back

The rate of change refers to how much the output (y) changes for a change in the input (x). It is represented by the slope (m) in the linear equation.

Front

How do you identify the slope from a linear equation?

Back

The slope is the coefficient of x in the equation of the line, represented as y = mx + b.

Front

What is the y-intercept in a linear function?

Back

The y-intercept is the value of y when x is 0. It is represented by b in the equation y = mx + b.

Front

If a function has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, the value of y increases by 2 units.

Front

What is the equation for a savings account that starts with $20 and adds $5 each week?

Back

The equation is y = 5x + 20, where y is the total amount in the account after x weeks.

Front

How do you determine which linear function has a greater rate of change?

Back

Compare the slopes of the functions; the function with the larger slope has a greater rate of change.

Front

What does it mean if a panda is growing faster than another?

Back

It means that the panda has a higher rate of change in weight over time, represented by a steeper slope in a linear growth model.

Front

How can you represent the cost of renting a raft as a linear function?

Back

The cost can be represented as y = mx + b, where m is the cost per hour and b is any initial fee.

Front

What is the slope of the function representing the cost to rent a raft from Ryan's Rafts if it is $2.25 per hour?

Back

The slope is $2.25, indicating the cost increases by $2.25 for each additional hour.