Non Proportional Relationships

Front

What is a non-proportional relationship?

Back

A non-proportional relationship is a relationship between two quantities where the ratio of the quantities is not constant.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, representing where the line crosses the y-axis.

Front

Calculate the total cost for 10 shirts if the setup cost is $40 and each shirt costs $12.

Back

Total cost = $40 + (10 shirts * $12/shirt) = $160.

Front

How do you find the cost of one item if you know the total cost and the number of items?

Back

Divide the total cost by the number of items.

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity of one.

Front

Find the unit rate for 405 rotations in 5 minutes.

Back

Unit rate = 405 rotations / 5 minutes = 81 rotations per minute.

Front

What does slope represent in a linear equation?

Back

Slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

Calculate the slope of the line given two points (2, 3) and (4, 7).

Back

Slope = (y2 - y1) / (x2 - x1) = (7 - 3) / (4 - 2) = 4/2 = 2.

Front

What is the formula for calculating slope from a linear equation in the form y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

If a company charges a flat fee plus a variable cost per item, what type of relationship is this?

Back

This is a non-proportional relationship because the total cost does not vary directly with the number of items.