Graph Proportional Relationships Discussion In your journal, you identified a rate of proportionality that was too low or too high. You explained how a person could increase or reduce a rate of proportionality. Use the information provided to complete the discussion.

Answer 1

In my previous journal entry, I identified a rate of proportionality that was too low. This means that the ratio of the dependent variable (y) to the independent variable (x) was not increasing at a sufficient rate.

To increase the rate of proportionality, one could implement several strategies.

1. Increase the multiplier: One way to increase the rate of proportionality is by multiplying the independent variable by a larger number. This will amplify the effect on the dependent variable, making the ratio of y to x greater. For example, if the original rate of proportionality was 2, multiplying the independent variable by 3 will result in a new rate of proportionality of 6.

2. Add a constant: Another strategy is to add a constant value to the dependent variable. This will shift the entire graph upwards, making the ratio of y to x higher for each corresponding x value. For instance, if the original rate of proportionality was 2, adding 4 to the dependent variable will yield a new rate of proportionality of 6.

3. Modify the equation/formula: If the relationship is described by a mathematical equation or formula, one can alter the formula to achieve a higher rate of proportionality. For example, if the original equation is y = 2x, replacing the coefficient 2 with a larger value, such as 4, will result in a new rate of proportionality of 4.

It is important to note that increasing the rate of proportionality may have real-life implications. For example, if the rate represents the speed of a car, increasing the rate of proportionality will result in a faster rate of acceleration for the car.

In conclusion, when faced with a rate of proportionality that is too low, it is necessary to implement strategies such as increasing the multiplier, adding a constant, or modifying the equation/formula to achieve a higher rate. These modifications will result in a greater ratio of the dependent variable to the independent variable and a steeper graph.