Multiple Representations

Front

What is the equation for the total cost to go to the park if it costs $4 plus $3 per child?

Back

y = 3x + 4, where x is the number of children.

Front

In the equation y = 2x + 5, what are the values of m and b?

Back

m = 2, b = 5.

Front

Write an equation for a situation where the cost is $19.25 per child.

Back

y = 19.25x, where x is the number of children.

Front

Is the graph of the equation y = 3x + 4 proportional or non-proportional?

Back

Non-proportional.

Front

What does the rate of change (m) represent in a linear equation?

Back

It represents how much y changes for a one-unit change in x.

Front

If the equation is y = mx + b, what do m and b represent?

Back

m is the slope (rate of change), and b is the y-intercept.

Front

What is a proportional relationship?

Back

A relationship where the ratio of y to x is constant.

Front

How do you identify a non-proportional graph?

Back

A non-proportional graph does not pass through the origin (0,0).

Front

What is the slope of the line represented by the equation y = 4x + 1?

Back

The slope (m) is 4.

Front

If a table shows a constant rate of change of 3, what is the slope?

Back

The slope (m) is 3.