ACA Fall Final Review

Front

What is the constant of proportionality?

Back

The constant of proportionality is the ratio between two quantities that are directly proportional to each other. It represents how much one quantity changes in relation to another.

Front

How do you find the constant of proportionality from a word problem?

Back

To find the constant of proportionality, divide the total amount earned by the total hours worked. For example, if someone earns $37 for 4 hours, the constant is $37 / 4 = $9.25 per hour.

Front

What does it mean for a relationship to be proportional?

Back

A relationship is proportional if two quantities maintain a constant ratio or rate. This means that as one quantity increases or decreases, the other does so in a consistent manner.

Front

What is the rate of change in an equation?

Back

The rate of change in an equation is the coefficient of the variable. For example, in the equation y = 14x, the rate of change is 14.

Front

If a fitness club starts with 80 members and gains 15 members each month, how can this be represented?

Back

This can be represented as a linear equation where the number of members increases by a constant amount each month.

Front

How do you convert pints to cups?

Back

To convert pints to cups, multiply the number of pints by 2, since there are 2 cups in each pint.

Front

What is the formula for finding the total number of items in a proportional relationship?

Back

The formula is y = kx, where y is the total number of items, k is the constant of proportionality, and x is the number of units.

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the cost of apples per pound. If apples cost $2 per pound, then 3 pounds would cost $6, maintaining a constant ratio.

Front

How can you tell if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of the corresponding values are constant.

Front

What is the significance of the slope in a graph?

Back

The slope of a graph represents the rate of change between the two variables. A steeper slope indicates a greater rate of change.