• It is helpful to know the unit cost of an item because

it allows individuals or businesses to calculate the total cost of purchasing a certain quantity of that item. Knowing the unit cost also helps in comparing prices and evaluating the affordability or value for money of different options. It enables effective budgeting and allows for informed decision making when it comes to purchasing or selling goods. Additionally, understanding the unit cost helps in determining profitability, setting prices, and managing inventory.

• I can tell if a relationship is a direct variation by

examining the ratios of the corresponding values in the relationship. If the ratios of the values remain constant, then it is a direct variation. In other words, if the ratio of y-values to x-values stays the same for all points in the relationship, then it is a direct variation. Another way to determine if a relationship is a direct variation is by graphing the data points. If the resulting graph is a straight line passing through the origin (0, 0), then it is a direct variation. Direct variations have the form y = kx, where k is the constant of variation.

could you simplify that

Certainly! To determine if a relationship is a direct variation, you can:

1. Check if the ratios of the corresponding values in the relationship are constant.
2. Graph the data points and see if they form a straight line passing through the origin.

If the ratios of the values remain constant or the graph is a straight line passing through the origin, then it is a direct variation. Direct variations follow the form y = kx, where k is a constant.

• Other terms I learned that mean the same thing as unit rate are

- Constant of proportionality

- Ratio
- Rate per unit
- Price per unit
- Cost per item
- Value for money
- Price per piece
- Rate of change
- Expense per unit
- Speed per unit of time
- Rate of production
- Efficiency per unit
- Benefit per unit
- Output per unit

These terms are often used interchangeably with unit rate to convey the idea of a quantity or value measured or compared per unit.