Question

Can unit rate be found from tables and equations and graphs?

Answer 1

Yes, the unit rate can be found from tables, equations, and graphs. Here's how each method works:

1. **Tables**: In a table, you can look for two quantities that are related. You can find the unit rate by taking the ratio of the two quantities. For example, if a table shows that 5 apples cost $10, the unit rate (the cost per apple) is found by dividing $10 by 5 apples, resulting in $2 per apple.

2. **Equations**: In an equation, the unit rate can often be identified by examining the coefficients. For example, in the equation \(y = 3x\), the unit rate is 3, meaning for every 1 unit of \(x\), \(y\) increases by 3 units. If the equation is in the form of \(y = kx\) (where \(k\) is a constant), then \(k\) is the unit rate.

3. **Graphs**: On a graph, the unit rate can be found by determining the slope of the line. The slope is calculated as the change in \(y\) over the change in \(x\) (rise over run). For example, if a line on a graph rises 4 units for every 2 units it runs, the slope (or unit rate) would be \(4/2 = 2\).

In summary, regardless of the medium (tables, equations, or graphs), the unit rate can be calculated by analyzing the relationships between the quantities involved.