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Determine if the table is linear or exponential. Tables 2 , 3 and 4 are the same

Determine if the table is linear or exponential. Tables 2 , 3 and 4 are the same-example-1
User ANIL MANE
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Exponential and linear relations differ in the way the y-values change when the x-values increase by a constant amount, that is, in a linear relationship, the y-values have equal differences and in an exponential relationship, the y-values have equal ratios.

In our first table, when the x-values increase one unit, the y-values decreses 2 units. Similarly, when the x-values increase 2 units, the y-values decrease 4 units and so on:

. Therefore, the first table shows a linear behavior.

On the other hand, table 2,3 and 4 are the same. In those cases, when the x-values increase one unit the, the y-values have a ratio of 2. Similarly, when the x-values increase 2 units the corresponding ratio for the y-values in 4 and so on.

This means that tables 2, 3 and 4 denote an exponential relationship.

Determine if the table is linear or exponential. Tables 2 , 3 and 4 are the same-example-1
Determine if the table is linear or exponential. Tables 2 , 3 and 4 are the same-example-2
User Shankar Gurav
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