Final answer:
To find equations with a greater unit rate, compare the change in 'y' and the change in 'x'.
Step-by-step explanation:
In order to determine which equations have a greater unit rate than the rate represented in the table, we need to compare the values of the rates. The table shows the values of the independent variable 'x' and the corresponding dependent variable 'y'. The unit rate is found by dividing the change in 'y' by the change in 'x'.
Looking at the table, the change in 'y' from 32 to 96 is 96 - 32 = 64. The change in 'x' is 4 - 6 = -2. Dividing the change in 'y' by the change in 'x' gives a unit rate of 64 / -2 = -32.
To find equations with a greater unit rate, we need to find equations that have a larger change in 'y' for the same change in 'x' as the table. For example, an equation with a change in 'y' of 100 and a change in 'x' of 2 would have a unit rate of 100/2 = 50, which is greater than -32.